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Tamilnadu State Board New Syllabus Samacheer Kalvi 12th Maths Guide Pdf Chapter 5 Two Dimensional Analytical Geometry – II Ex 5.3 Textbook Questions and Answers, Notes.

Tamilnadu Samacheer Kalvi 12th Maths Solutions Chapter 5 Two Dimensional Analytical Geometry – II Ex 5.3

Question 1.
Identify the type of conic section of each of the equations.
(1) 2x² – y² = 7
(2) 3x² + 3y² – 4x + 3y + 10 = 0
(3) 3x² + 2y² = 14
(4) x² + y² + x – y = 0
(5) 11x² – 25y² – 44x + 50y – 256 = 0
(6) y² + 4x + 3y + 4 = 0
Solution:
(1) 2x² – y² = 7
Comparing this equation with the general equation of the conic
Ax² + Bxy + Cy² + Dx + Ey + F = 0
We get A = 2, C = – 1
Elere A ≠ C also A and C are of opposite signs.
So the conic is a hyperbola.

(2) 3x² + 3y² – 4x + 3y + 10 = 0
A = 3, B = 0, C = 3, D = -4, E = 3, F = 10
A = C and B = 0 (No xy term)
∴ It is a circle.

(3) 3x² + 2y² = 14
A = 3, B = 0, C = 2, F = -14
A ≠ C and A & C are the same signs.
∴ It is an ellipse.

(4) x² + y² + x – y = 0
Comparing this equation with the general equation of the conic
Ax² + Bxy + Cy² + Dx + Ey + F = 0
We get A = C and B = 0
So the given conic is a circle.

(5) 11x² – 25y² – 44x + 50y – 256 = 0
A =11, B = 0, C = -25, D = -44, E = 50, F = -256
A ≠ C and A & C are the opposite signs.
∴ It is a hyperbola.

(6) y² + 4x + 3y + 4 = 0
Comparing this equation with the general equation of the conic
Ax² + Bxy + Cy² + Dx + Ey + F = 0
We get A = 0 and B = 0
So the conic is a parabola.

Tamilnadu State Board New Syllabus Samacheer Kalvi 12th Maths Guide Pdf Chapter 5 Two Dimensional Analytical Geometry – II Ex 5.5 Textbook Questions and Answers, Notes.

Tamilnadu Samacheer Kalvi 12th Maths Solutions Chapter 5 Two Dimensional Analytical Geometry – II Ex 5.5

Question 1.
A bridge has a parabolic arch that is 10 m high in the centre and 30 m wide at the bottom. Find the height of the arch 6 m from the centre, on either sides.
Solution:

PQ = 2a = 30 m
a = 15 m
Point Q be (15 , -10)
Equation of the parabola
x² = -4 ay …….. (1)
Q lies on parabola
15² = -4a( -10)
a = \(\frac {225}{40}\)
(1) ⇒ x² = -4(\(\frac {225}{40}\))y
x² = \(\frac {225}{10}\)y
Let B(6, y) lies on parabola
6² = \(\frac {225}{10}\) y₁
y₁ = –\(\frac {36×10}{225}\) = \(\frac {-8}{5}\) = \(\frac {8}{5}\) m
AB = AC – BC = 10 – \(\frac {8}{5}\)
= \(\frac {50-8}{5}\) = \(\frac {42}{5}\)
AB = 8.4 m
∴ The height of the arch 6 m from the centre is 8.4 m.

Question 2.
A tunnel through a mountain for a four lane highway is to have a elliptical opening. The total width of the highway (not the opening) is to be 16 m and the height at the edge of the road must be sufficient for a truck 4 m high to clear if the highest point of the opening is to be 5 m approximately. How wide must the opening be?
Solution:

Let the equation of the ellipse be
\(\frac {x^2}{a^2}\) + \(\frac {y^2}{b^2}\) = 1
Length of semi minor axis b = 5
i,e., \(\frac {x^2}{a^2}\) + \(\frac {y^2}{5^2}\) = 1
Let BB’ be the road width and AA’ be the end points of the opening of the tunnel.
Let CB = 8, BD = 4
∴ D is (8, 4) lies on the ellipse
\(\frac {8^2}{a^2}\) + \(\frac {4^2}{5^2}\) = 1
⇒ a² = \(\frac {25}{9}\) × 64
⇒ a = \(\frac {40}{3}\)
The width AA’ = 2a
= \(\frac {80}{3}\) = 26.66 m
The required width is 26.66 m.

Question 3.
At a water fountain, water attains a maximum height of 4 m at horizontal distance of 0.5 m from its origin. If the path of water is a parabola, find the height of water at a horizontal distance of 0.75 m from the point of origin.
Solution:

Let the equation of parabola be
(x – h)² = -4a (y – k)
Here vertex B (0.5, 4)
∴ Equation of parabola
(x – 0.5)² = -4a(y – 4)
Parabola passes through origin (0, 0)
(0 – 0.5)² = -4a(0 – 4)
(-\(\frac {1}{2}\))² = 16a
∴ \(\frac {1}{4}\) = 16a ⇒ a = \(\frac {1}{64}\)
∴ Equation of parabola
(x – 0.5)² = -4(\(\frac {1}{64}\))(y- 4)
This Parabola passes again through D(0.75, y₁)
∴ (0.75 – 0.5)² = –\(\frac {1}{16}\) (y₁ – 4)
(0.25)² = –\(\frac {1}{16}\) (y₁ – 4)
(\(\frac {1}{4}\))² = –\(\frac {1}{16}\) (y₁ – 4)
\(\frac {1}{16}\) = –\(\frac {1}{16}\) (y₁ – 4)
1 = -y₁ + 4
y₁ = 3
Height of water at a horizontal distance of 0.75 m is 3 m.

Question 4.
An engineer designs a satellite dish with a parabolic cross section. The dish is 5 m wide at the opening and the focus is placed 1.2 m from the vertex
(a) Position a co-ordinate system with the origin at the vertex and the x-axis on the parabola’s axis of symmetry and find an equation of the parabola.
(b) Find the depth of the satellite dish at the vertex.
Solution:

(a) Consider the satellite dish is open rightward parabola
y² = 4 ax ……….. (1)
Clearly a = 1.2m
(1) ⇒ y² = 4(1.2)
y² = 4.8x
(b) Use the point (x₁, 2.5) in (1)
(2.5)² = 4(1.2)x₁
\(\frac{(2.5)^{2}}{4(1.2)}\) = y₁
x₁ = 1.3 m
∴ The depth of the satellite dish at vertex is 1.3 m

Question 5.
The parabolic cable of a 60 m portion of the roadbed of a suspension bridge are positioned as shown below. Vertical cables are to be spaced every 6 m along this portion of the roadbed. Calculate; the lengths of first two of these vertical cables: from the vertex.

Solution:

From the diagram, the equation is x² = 4 ay and it passes through C(30, 13)
Equation of Parabola x² = 4ay.
30² = 4a × 13
4a = \(\frac {30^2}{13}\)
∴ Equation of the parabola is
x² = \(\frac {30^2}{13}\)y
(i) Let VG = 6 and GE = y
∴ E is (6, y) and it lies on the parabola
36 = \(\frac {30^2}{13}\)y
⇒ y = 0.52
Gable from the road = 3 + 0.52
= 3.52 m.

(ii) Let VH = 12 and HF = y
∴ F (12, y) lies on the parabola
12² = \(\frac {30^2}{13}\)y
⇒ y = \(\frac {144×13}{900}\)
= \(\frac {208}{100}\)y
y = 2.08
Cable from the road = 3 + 2.08 = 5.08
The heights of the first two vertical cables from the vertex are 3.52 m and 5.08 m

Question 6.
Cross-section of a Nuclear cooling tower is in the shape of a hyperbola with equation \(\frac {x^2}{30^2}\) – \(\frac {y^2}{44^2}\) = 1. The tower is 150 m tall and the distance from the top of the tower to the centre of the hyperbola is half the distance from the base of the tower to the centre of the hyperbola. Find the diameter of the top and base of the tower.

Solution:

Equation of hyperbola is \(\frac {x^2}{30^2}\) – \(\frac {y^2}{44^2}\) = 1
Given OC = \(\frac {1}{2}\) OD and CD = 150
∴ OC = 50 m and OD = 100 m
Let the Radius of top of the tower be x₁ and bottom of the tower be x₂.
∴ Points A(x₁, 50) and B(x₂, 100)
Hyperbola passes through A(x₁, 50)

∴ Radius of the top = 45.41 m.
Diameter of the top = 90.82 m
Also
The hyperbola again passes through B(x₂, 100)

∴ Radius of the base = 74.48 m.
Diameter of the base = 148.96 m
∴ Diameter of the top and base of the tower are 90.82 m and 148.96 m.

Question 7.
A rod of length 1.2 m moves with its ends always touching the co-ordinate axes. The locus of a point P on the rod, which is
0. 3 m from the end in contact with x axis is an ellipse. Find the eccentricity.
Solution:

Length of rod BD = 1.2 m
Let P(x, y) be any point on the Rod such
that PB = 0.3 m
∴ PD = 1.2 – 0.3 = 0.9 m
Let ΔPAB and ΔPCD are similar triangles
In ΔPAB sin θ = \(\frac {y}{0.3}\)
In A PCB cos θ = \(\frac {y}{0.9}\)
We know that sin² θ + cos² θ = 1

Question 8.
Assume that water’issuing from the end of a horizontal pipe, 7.5 m. above the ground, describes a parabolic path. The vertex of the parabolic path is at The end of the pipe. At position 2.5 in below the line of the pipe, the flow of water has curved outward 3 m beyond the vertical, line through the end of the pipe. How far beyond this vertical line will the water strike the ground?
Solution:

Equation of the water path is
x² = – 4 ay
Use the point (3, – 2.5) in (1)
(3)² = – 4a(- 2.5)
9 = 10a
a = \(\frac{9}{10}\) substituting in (1)
(1) ⇒ x² = -4\(\frac{9}{10}\)y …………. (2)
Use the point (x₁, -7.5) in (2)
(2) ⇒ x₁² = -4 \(\frac{9}{10}\)(-7.5) ⇒ x₁² = 30(\(\frac{9}{10}\))
x₁ = \(\sqrt{3 \times 9}\)
x₁ = \(3 \sqrt{3}\) m
∴ The water strikes the ground \(3 \sqrt{3}\) m beyond the vertical line.

Question 9.
On lighting a rocket cracker it gets projected in a parabolic path and reaches a maximum height of 4 in when it is 6 m away from the point of projection. Finally, it reaches the ground 12 in away from the starting-point. Find the angle of! projection.
Solution:

Equation of the parabola be x² = – 4ay ……. (1)
B(6, -4) lies on parabola
6² = -4a(-4)
\(\frac {36}{16}\) = a ⇒ a = \(\frac {9}{4}\)
(1) ⇒ x² = -(\(\frac {9}{4}\))y
x² = -9y ………. (2)
Now need tofind slope at (-6, -4)
Diff (2) w.r.to x
2x = -9 \(\frac {dy}{dx}\)
\(\frac {dy}{dx}\) = \(\frac {2x}{-9}\)
At(-6, -4), \(\frac {dy}{dx}\) = \(\frac {2(-6)}{-9}\) = \(\frac {12}{9}\) = \(\frac {4}{3}\)
tan θ = \(\frac {4}{3}\)
θ = tan^-1(\(\frac {4}{3}\))

Question 10.
Points A and B are 10 km apart and it is determined from the sound of an explosion heard at those points at different times that the location of the explosion is 6 km closer to A than 5. Show that the location of the explosion is restricted to a particular curve and find an equation of it.
Solution:
As shown in figure, A and B are on both sides of x-axis at Co-ordinates (-5, 0) and (5, 0)
The distance between A and B is 10. A point C is on the graph at Co-ordinates (x, y)
C is 6 km closer to A than B.

Squaring on both sides we get,
(x – 5)² + y² = 36 + (x + 5)² + y² + 12(\(\sqrt {(x+5)^2+y^2}\))
x² + 25 – 10x + y² = x² + 10x + y² + 36 + 25 + 12\(\sqrt {(x+5)^2+y^2}\)
-20x – 36 = 12\(\sqrt {(x+5)^2+y^2}\)
(÷ by 4) ⇒ -5x – 9 = 3\(\sqrt {(x+5)^2+y^2}\)
Squaring both sides we get,
25x² + 81 + 90x = 9(x² + 25 + 10x + y²)
25x² + 81 + 90x – 9x² – 90x – 9y² – 225 = 0
16x² – 9y² – 144 = 0
16x² – 9y² = 144
(÷ by 144) ⇒ \(\frac {x^2}{9}\) – \(\frac {y^2}{16}\) = 1 is the required equation of hyperbola.

Tamilnadu State Board New Syllabus Samacheer Kalvi 12th Maths Guide Pdf Chapter 6 Applications of Vector Algebra Ex 6.2 Textbook Questions and Answers, Notes.

Tamilnadu Samacheer Kalvi 12th Maths Solutions Chapter 6 Applications of Vector Algebra Ex 6.2

Question 1.
If \(\overline { a }\) = \(\hat { i }\) – 2\(\hat { j }\) + 3\(\hat { k }\), b = 2\(\hat { i }\) + \(\hat { j }\) – 2\(\hat { k }\), c = 3\(\hat { i }\) + 2\(\hat { j }\) + \(\hat { k }\) find \(\overline { a }\).(\(\overline { b}\) × \(\overline { c }\)).
Solution:
\(\overline { a }\).(\(\overline { b}\) × \(\overline { c }\)) = [ \(\overline { a }\), \(\overline { b }\), \(\overline { c }\) ] = \(\left|\begin{array}{ccc}
1 & -2 & 3 \\
2 & 1 & -2 \\
3 & 2 & 1
\end{array}\right|\)
= 1(1 + 4) + 2(2 + 6) + 3(4 – 3)
= 5 + 16 + 3 = 24

Question 2.
Find the volume of the parallelepiped whose coterminous edges are represented by the vectors -6\(\hat { i }\) + 14\(\hat { j }\) + 10\(\hat { k }\), 14\(\hat { i }\) – 10\(\hat { j }\) – 6\(\hat { k }\) and 2\(\hat { i }\) + 4\(\hat { j }\) – 2\(\hat { k }\)
Solution:
Volume of the parallelepiped = [ \(\overline { a }\), \(\overline { b }\), \(\overline { c }\) ]
= \(\left|\begin{array}{ccc}
-6 & 14 & 10 \\
14 & -10 & -6 \\
2 & 4 & -2
\end{array}\right|\)
= -6(20 + 24) -14(-28 + 12) + 10(56 + 20)
= -6(44) -14(-16) + 10(76)
= -264 + 224 + 760
= 720 cu. units.

Question 3.
The volume of the parallelepiped whose coterminous edges are 7\(\hat { i }\) + λ\(\hat { j }\) – 3\(\hat { k }\), \(\hat { i }\) + 2\(\hat { j }\) – \(\hat { k }\), -3\(\hat { i }\) + 7\(\hat { j }\) + 5\(\hat { k }\) is 90 cubic units. Find the value of λ
Solution:
volume of the parallelepiped = [ \(\overline { a }\), \(\overline { b }\), \(\overline { c }\) ]
\(\left|\begin{array}{ccc}
7 & \lambda & -3 \\
1 & 2 & -1 \\
-3 & 7 & 5
\end{array}\right|\) = 90
7(10 + 7) – λ(5 – 3) – 3(7 + 6) = 90
7(17) – λ(2) – 3(13) = 90
119 – 2λ – 39 = 90
2λ = 119 – 39 – 90
2λ = -10
λ = -5

Question 4.
If \(\overline { a }\), \(\overline { b }\), \(\overline { c }\) are three non-coplanar vectors represented by concurrent edges of a parallelepiped of volume 4 cubic units, find the value of
(\(\overline { a }\) + \(\overline { b }\)).(\(\overline { b }\) × \(\overline { c }\)) + (\(\overline { b }\) + \(\overline { c }\)).(\(\overline { c }\) × \(\overline { a }\)) + (\(\overline { c }\) + \(\overline { a }\)).(\(\overline { a }\) × \(\overline { b }\)).
Solution:
Given [ \(\overline { a }\), \(\overline { b }\), \(\overline { c }\) ] = ±4.
{(\(\overline { a }\) + \(\overline { b }\)).(\(\overline { b }\) × \(\overline { c }\)) + (\(\overline { b }\) + \(\overline { c }\)).(\(\overline { c }\) × \(\overline { a }\)) + (\(\overline { c }\) + \(\overline { a }\)).(\(\overline { a }\) × \(\overline { b }\)).}
= \(\overline { a }\)(\(\overline { b }\) × \(\overline { c }\)) + \(\overline { b }\) – (\(\overline { b }\) × \(\overline { c }\)) + \(\overline { b }\) – (\(\overline { c }\) × \(\overline { a }\)) + \(\overline { c }\) – (\(\overline { c }\) × \(\overline { a }\)) + \(\overline { c }\)(\(\overline { a }\) × \(\overline { b }\)) + \(\overline { a }\) – (\(\overline { a }\) × \(\overline { b }\))
= [ \(\overline { a }\), \(\overline { b }\), \(\overline { c }\) ] + [ \(\overline { b }\), \(\overline { b }\), \(\overline { c }\) ] + [ \(\overline { p }\), \(\overline { c }\), \(\overline { a }\) ] + [ \(\overline { c }\), \(\overline { c }\), \(\overline { a }\) ] + [ \(\overline { c }\), \(\overline { a }\), \(\overline { b }\) ] + [ \(\overline { a }\), \(\overline { a }\), \(\overline { b }\) ]
= ± 4 + 0 ± 4 + 0 ± 4 + 0 = ± 12

Question 5.
Find the altitude of a parallelepiped determined by the vectors \(\overline { a }\) = -2\(\hat { i }\) + 5\(\hat { j }\) + 3\(\hat { k }\), \(\overline { b }\) = \(\hat { i }\) + 3\(\hat { j }\) – 2\(\hat { k }\) and \(\overline { c }\) = -3\(\hat { i }\) + \(\hat { j }\) + 4\(\hat { k }\) if the base is taken as the parallelogram determined by \(\overline { b }\) and \(\overline { c }\).
Solution:
V = \(\overline { a }\) -(\(\overline { b }\) × \(\overline { c }\)) = [ \(\overline { a }\), \(\overline { b }\), \(\overline { c }\) ]
= \(\left|\begin{array}{ccc}
-2 & 5 & 3 \\
1 & 3 & -2 \\
-3 & 1 & 4
\end{array}\right|\)
= -2(12 + 2) -5(4 – 6) + 3(1 + 9)
= -2(14) -5(-2) + 3(10)
= -28 + 10 + 30 = 12
Area = |\(\overline { b }\) × \(\overline { c }\)| = \(\left|\begin{array}{ccc}
\hat{i} & \hat{j} & \hat{k} \\
1 & 3 & -2 \\
-3 & 1 & 4
\end{array}\right|\)
= \(\hat { i }\)(12 + 2) – \(\hat { j }\)(4 – 6) + \(\hat { k }\)(1 + 9)
= 14\(\hat { i }\) + 2\(\hat { j }\) + 10\(\hat { k }\)
|\(\overline { b }\) × \(\overline { c }\)| = \(\sqrt { 196+4+100 }\) = \(\sqrt { 300 }\)
= 10√3
Altitude h = \(\frac { V }{ Area }\) = \(\frac { 12 }{ 10√3 }\) = \(\frac { 12×√3 }{ 10×3 }\) = \(\frac { 2√3 }{ 5 }\)

Question 6.
Determine whether the three vectors 2\(\hat { i }\) + 3\(\hat { j }\) + \(\hat { k }\), \(\hat { i }\) – 2\(\hat { j }\) + 2\(\hat { k }\) and 3\(\hat { i }\) + \(\hat { j }\) + 3\(\hat { k }\) are coplanar.
Solution:
If vectors are coplanar, [ \(\overline { a }\), \(\overline { b }\), \(\overline { c }\) ] = 0
[ \(\overline { a }\), \(\overline { b }\), \(\overline { c }\) ] = \(\left|\begin{array}{ccc}
2 & 3 & 1 \\
1 & -2 & 2 \\
3 & 1 & 3
\end{array}\right|\)
= 2(-6 – 2) -3(3 – 6) + 1(1 + 6)
= -2(-8) -3(-3) + 1(7) = -16 + 9 + 7 = 0
∴ The given vectors are coplanar

Question 7.
Let \(\overline { a }\) = \(\hat { i }\) + \(\hat { j }\) + \(\hat { k }\), \(\overline { b }\) = \(\hat { i }\) and \(\overline { c }\) = c₁\(\hat { i }\) + c₂\(\hat { j }\) + c₃\(\hat { k }\). If c₁ = 1 and c₂ = 2, find c₃ such that \(\overline { a }\), \(\overline { b }\) and \(\overline { c }\) are coplanar.
Solution:
If \(\overline { a }\), \(\overline { b }\) and \(\overline { c }\) are coplanar [ \(\overline { a }\), \(\overline { b }\) and \(\overline { c }\) ] = 0
\(\left|\begin{array}{lll}
1 & 1 & 1 \\
1 & 0 & 0 \\
c_{1} & c_{2} & c_{3}
\end{array}\right|\) = 0
1(0) – 1(c₃) + 1(c₂) = 0
-c₃ + c₂ = 0
c₃ = c₂ = 2

Question 8.
If \(\overline { a }\) = \(\hat { i }\) – \(\hat { k }\), \(\overline { b }\) = x\(\hat { i }\) + \(\hat { j }\) + (1 – x)\(\hat { k }\) c = y\(\hat { i }\) + x\(\hat { j }\) + (1 + x – y) \(\hat { k }\) Show that [ \(\overline { a }\), \(\overline { b }\) and \(\overline { c }\) ] = 0
Solution:
[ \(\overline { a }\), \(\overline { b }\) and \(\overline { c }\) ] = \(\left|\begin{array}{ccc}
1 & 0 & -1 \\
x & 1 & 1-x \\
y & x & 1+x-y
\end{array}\right|\)
= 1(1 + x – y – x + x²)-1(x² – y)
(1 + x – y – x + x² – x² + y)
= 1
There is no x and y terms
∴ [ \(\overline { a }\), \(\overline { b }\) and \(\overline { c }\) ] depends on neither x nor y.

Question 9.
If the vectors a\(\hat { i }\) + a\(\hat { j }\) + c\(\hat { k }\), \(\hat { i }\) + \(\hat { k }\) and c\(\hat { i }\) + c\(\hat { j }\) + b\(\hat { k }\) are coplanar, prove that c is the geometric mean of a and b.
Solution:
[ \(\overline { a }\), \(\overline { b }\) and \(\overline { c }\) ] = 0
\(\left|\begin{array}{lll}
a & a & c \\
1 & 0 & 1 \\
c & c & b
\end{array}\right|\) = 0
a(0 – c) – a(b – c) + c(c) = 0
-ac – ab + ac + c² = 0
c² – ab = 0
c² = ab
⇒ c in the geometric mean of a and b.

Question 10.
Let \(\overline { a }\), \(\overline { b }\) and \(\overline { c }\) be three non-zero vectors such that \(\overline { c }\) is a unit vector perpendicular to both \(\overline { a }\) and \(\overline { b }\). If the angle between \(\overline { a }\) and \(\overline { b }\) is \(\frac { π }{ 6 }\) show that [\(\overline { a }\), \(\overline { b }\) and \(\overline { c }\)]² = \(\frac { 1 }{ 4 }\) |\(\overline { a }\)|² |\(\overline { b }\)|²
Solution:

Hence proved

Tamilnadu State Board New Syllabus Samacheer Kalvi 12th Maths Guide Pdf Chapter 5 Two Dimensional Analytical Geometry – II Ex 5.4 Textbook Questions and Answers, Notes.

Tamilnadu Samacheer Kalvi 12th Maths Solutions Chapter 5 Two Dimensional Analytical Geometry – II Ex 5.4

Question 1.
Find the equations of the two tangents that can be drawn from (5, 2) to the ellipse 2x² + 7y² = 14.
Solution:
2x² + 7y² = 14
(÷ by 14) ⇒ \(\frac{x^{2}}{7}+\frac{y^{2}}{2}\) = 1
comparing this equation with \(\frac{x^{2}}{a^{2}}+\frac{y^{2}}{b^{2}}\) = 1
we get a² = 7 and b² = 2
The equation of tangent to the above ellipse will be of the form
y = mx + \(\sqrt{a^{2} m^{2}+b^{2}}\) ⇒ y = mx + \(\sqrt{7 m^{2}+2}\)
Here the tangents are drawn from the point (5, 2)
⇒ 2 = 5m + \(\sqrt{7 m^{2}+2}\) ⇒ 2 – 5m = \(\sqrt{7 m^{2}+2}\)
Squaring on both sides we get
(2 – 5m)² = 7m² + 2
25m² + 4 – 20m – 7m² – 2 = 0
18m² – 20m + 2 = 0
(÷ by 2) ⇒ 9m² – 10m + 1 = 0
(9m – 1) (m – 1) = 0
‘ m = 1 (or) m = 1/9
When m = 1, the equation of tangent is
y = x + 3 or x – y + 3 = 0
When m = \(\frac{1}{9}\) the equation of tangent is 9
y = \(=\frac{x}{9}+\sqrt{\frac{7}{81}+2}\) (i.e.) y = \(\frac{x}{9}+\frac{13}{9}\)
9y = x + 13 or x – 9y + 13 = 0

Question 2.
Find the equations of tangents to the hyperbola \(\frac {x^2}{16}\) – \(\frac {y^2}{64}\) = 1 which are parallel to 10x – 3y + 9 = 0.
Solution:
Equation of Hyperbola \(\frac {x^2}{16}\) – \(\frac {y^2}{64}\) = 1
∴ a² = 16, b² = 64
Tangent is parallel to the line
10x – 3y + 9 = 0 is
10x – 3y + k = 0
∴ 3y = 10x + k
y = \(\frac {10}{3}\)x + \(\frac {k}{3}\)
∴ m = \(\frac {10}{3}\) c = \(\frac {k}{3}\)
Condition that the line y = mx + c to be tangent to the hyperbola is
c² = a²m² – b²

k² = 1024
k = ±32
∴ Equation of tangent
⇒ 10x – 3y ± 32 = 0

Question 3.
Show that the line x – y + 4 = 0 is a tangent to the ellipse x² + 3y² = 12. Also find the co-ordinates of the point of contact.
Solution:
The given ellipse is x² + 3y² = 12
(÷ by 12) ⇒ \(\frac{x^{2}}{12}+\frac{y^{2}}{4}\) = 1
(ie.,) Here a² = 12 and b² = 4
The given line is x – y + 4 = 0
(ie.,) y = x + 4
Comparing this line with y = mx + c
We get m = 1 and c = 4
The condition for the line y = mx + c
To be a tangent to the ellipse \(\frac{x^{2}}{a^{2}}+\frac{y^{2}}{b^{2}}\) = 1 is c² = a²m² + b²
LHS = c² = 4² = 16
RHS: a²m² + b² = 12( 1 )² + 4 = 16
LHS = RHS The given line is a tangent to the ellipse. Also the point of contact is
\(\left(\frac{-a^{2} m}{c}, \frac{b^{2}}{c}\right)=\left[-\left(\frac{12(1)}{4}\right), \frac{4}{4}\right]\) (i.e.,) (-3, 1)

Question 4.
Find the equation of the tangent to the parabola y² = 16x perpendicular to 2x + 2y + 3 = 0.
Solution:
Equation of the parabola
y² = 16x
4 a = 16
a = 4
Tangent is perpendicular to the line
2x + 2y + 3 = 0 is 2x – 2y + k = 0
2x – 2y + k = 0
2y = 2x + k
y = x + \(\frac {k}{2}\)
m = 1 c = \(\frac {k}{2}\)
Condition that the line y = mx + c to be tangent to the parabola is
c = \(\frac {a}{m}\)
\(\frac {k}{2}\) = \(\frac {4}{1}\)
k = 8
Equation of the tangent
2x – 2y + 8 = 0
÷ by 2 ⇒ x – y + 4 = 0

Question 5.
Find the equation of the tangent at t = 2 to the parabola y² = 8x (Hint: use parametric form).
Solution:
y² = 8x
Comparing this equation with y² = 4ax
we get 4a = 8 ⇒ a = 2
Now, the parametric form for y² = 4ax is x = at², y = 2at
Here a = 2 and t = 2
⇒ x = 2(2)² = 8 and y = 2(2) (2) = 8
So the point is (8, 8)
Now eqution of tangent to y² = 4 ax at (x₁, y₁) is yy₁ = 2a(x + x₁)
Here (x₁, y₁) = (8, 8) and a = 2
So equation of tangent is y(8) = 2(2) (x + 8)
(ie.,) 8y = 4 (x + 8)
(÷ by 4) ⇒ 2y = x + 8 ⇒ x – 2y + 8 = 0
Aliter
The equation of tangent to the parabola y² = 4ax at ‘t’ is
yt = x + at²
Here t = 2 and a = 2
So equation of tangent is
(i.e.,) y(2) = x + 2(2)²
2y = x + 8 ⇒ x – 2y + 8 = 0

Question 6.
Find the equations of the tangent and normal to hyperbola 12x² – 9y² = 108 at θ = \(\frac {π}{3}\) .
(Hint: use parametric form)
Solution:
(i) Equation of the tangent to hyperbola be

⇒ 4x – 3y = 6
⇒ 4x – 3y – 6 = 0

(ii) Equation of the normal to hyperbola be

⇒ 3x + 4y – 42 = 0

Question 7.
Prove that the point of intersection of the tangents at ‘t₁‘ and ‘t₂‘ on the parabola y² = 4ax is [at₁t₂, a(t₁ + t₂)].
Solution:
Equation of the tangent of parabola y² = 4ax be
at t₁ yt₁ = x + at₁² ……….. (1)
at t₂ yt₂ yt = x + at₂² ……….. (2)
(1) – (2) ⇒ y(t₁ – t₂) = a(t₁² – t₂²)
y(t₁ – t₂) = a(t₁ + t₂)(t₁ – t₂)
y = a(t₁ + t₂)
(1) ⇒ t₁a(t₁ + t₂) = x + at₁²
x = at₁² + at₁t₂ – at₁²
x = at₁t₂
Point of intersection be [at₁t₂, a(t₁ + t₂)]

Question 8.
If the normal at the point ‘t₁‘ on the parabola y² = 4ax meets the parabola again at the point t₂ then prove that t₂ = -(t₁ + \(\frac {2}{t_1}\))
Solution:
Equation of normal to y² = 4at’ t’ is y + xt = 2at + at³.
So equation of normal at ‘t₁’ is y + xt₁ = 2at₁ + at₁³
The normal meets the parabola y² = 4ax at ‘t₂’ (ie.,) at (at₂², 2at₂)
⇒ 2at₂ + at₁t₂² = 2at₁ + at₁³
So 2a(t₂ – t₁) = at₁³ – at₁t₂²
⇒ 2a(t₂ – t₁) = at₁(t₁² – t₂²)
⇒ 2(t₂ – t₁) = t₁(t₁ + t₂)(t₁ – t₂)
⇒ 2= -t₁(t₁ + t₂)
⇒ t₁ + t₂ = \(\frac{-2}{t_{1}}\)
⇒ t₂ = \(-t_{1}-\frac{2}{t_{1}}=-\left(t_{1}+\frac{2}{t_{1}}\right)\)

Tamilnadu State Board New Syllabus Samacheer Kalvi 12th Maths Guide Pdf Chapter 5 Two Dimensional Analytical Geometry – II Ex 5.2 Textbook Questions and Answers, Notes.

Tamilnadu Samacheer Kalvi 12th Maths Solutions Chapter 5 Two Dimensional Analytical Geometry – II Ex 5.2

Question 1.
Find the equation of the parabola in each of the cases given below:
(i) focus (4, 0) and directrix x = -4.
(ii) passes through (2, – 3) and symmetric about y axis.
(iii) vertex (1,-2) and focus (4, – 2).
(iv) end points of latus rectum (4, -8) and (4, 8).
Solution:
(i) focus (4, 0) and directrix x = -4
Parabola is open rightwards vertex (0, 0)

a = 4
(Distance AS = 4 unit)
f² = 4(4) x
Equation of parabola
y² = 16x.

(ii) passes through (2, – 3) and symmetric about y-axis

x² = 4ay
It passes through (2, -3)
⇒ 2² = 4a(-3)
4 = -12a ⇒ a = \(-\frac{1}{3}\) ⇒ 4a = \(-\frac{4}{3}\)
∴ Equation of parabola is x² = \(-\frac{4}{3}\) y
3x²= – 4y.

(iii) vertex (1,-2) and focus (4, – 2)

In given data the parabola is open rightwards and symmetric about the line parallel to x-axis.
Equation of parabola
(y – k)² = 4a(x – h)
Vertex (h, k) = (1, -2)
(y + 2)² = 4a(x – 1)
a = AS = 3
Equation of parabola
(y + 2)² = 4(3)(x – 1)
(y + 2)² = 12(x – 1)

(iv) end points of latus rectum (4, -8) and (4, 8)

Focus = (4, 0)
Equation of the parabola will be of the form y² = 4ax
Here a = 4
⇒ y² = 16x

Question 2.
Find the equation of the ellipse in each of the cases given below:
(i) foci (± 3, 0), e = \(\frac {1}{2}\)
(ii) foci (0, ±4) and end points of major axis are (0, ±5).
(iii) length of latus rectum 8, eccentricity = \(\frac {3}{5}\) and major axis on x-axis.
(iv) length of latus rectum 4, distance between foci and major axis as y axis.
Solution:
(i) foci (± 3, 0), e = \(\frac {1}{2}\)
foci (± c, 0) = (± 3, 0)

e = \(\frac {1}{2}\)
c = ae = 3
a(\(\frac {1}{2}\)) = 3
a = 6 ⇒ a² = 36
b² = a² – c²
b² = 36 – 9 = 27
b² = 27
Equation of the ellipse be \(\frac {x^2}{a^2}\) + \(\frac {y^2}{b^2}\) = 1
\(\frac {x^2}{36}\) + \(\frac {y^2}{27}\) = 1

(ii) foci (0, ±4) and end points of major axis are (0, ±5)

foci (0, ±c) = (0, +4)
vertex (0, ±a) = (0, ±5)
∴ c = 4, a = 5
ae = 4
5e = 4
e = \(\frac {4}{5}\)
b² = a² – c²
= 25 – 16
b² = 9
Equation of the ellipse be \(\frac {x^2}{b^2}\) + \(\frac {y^2}{a^2}\) = 1
\(\frac {x^2}{9}\) + \(\frac {y^2}{25}\) = 1

(iii) length of latus rectum 8, eccentricity = \(\frac {3}{5}\) and major axis on x-axis.
e = \(\frac {3}{5}\)
Latus rectum \(\frac {2b^2}{a}\) = 8

(iv) length of latus rectum 4, distance between foci 4√2 and major axis as y-axis

Given \(\frac{2 b^{2}}{a}\) = 4 and 2ae = \(4 \sqrt{2}\)
Now \(\frac{2 b^{2}}{a}\) = 4 2b² = 4a
⇒ b² = 2a
2ae = \(4 \sqrt{2}\) ae = \(2 \sqrt{2}\)
So a²e² = 4(2) = 8
We know b² = a²(1 – e²) = a² – a²e²
⇒ 2a = a² – 8 ⇒ a² – 2a -8 = 0
⇒ (a – 4) (a +2) = 0 ⇒a = 4 or -2
As a cannot be negative
a = 4 So a² = 16 and b² = 2(4) = 8
Also major axis is along j-axis
So equation of ellipse is \(\frac{x^{2}}{8}+\frac{y^{2}}{16}\) = 1

Question 3.
Find the equation of the hyperbola in each of the cases given below:
(i) foci (± 2, 0), eccentricity = \(\frac {3}{2}\)
(ii) centre (2, 1) one of the foci (8, 1) and corresponding directrix x = 4.
(iii) passing through (5, -2) and length of the transverse axis along x axis and length 8 units.
Solution:
(i) foci (± 2, 0), eccentricity = \(\frac {3}{2}\)

(ii) centre (2, 1) one of the foci (8, 1) and corresponding directrix x = 4.
Distance CS = ae = 6 …….. (1)
Directrix \(\frac {a}{e}\) = 4 ……… (2)
(1) × (2) ⇒ ae × \(\frac {a}{e}\) = 24
a² = 24

∴ c = ae = 6
b² = c² – a²
= 36 – 24 = 12
The transverse axis is parallel to x-axis
∴ \(\frac {(x-h)^2}{a^2}\) – \(\frac {(y – k)^2}{b^2}\) = 1 (h, k) = (2, 1)
\(\frac {(x-2)^2}{24}\) – \(\frac {(y – 1)^2}{12}\) = 1

(iii) passing through (5,-2) and length of the transverse axis along x axis and of length 8 units.
Transverse axis along x-axis
\(\frac {x^2}{a^2}\) – \(\frac {y^2}{b^2}\) = 1
Length of transverse axis 2a = 8
⇒ a = 4

Question 4.
Find the vertex, focus, equation of directrix and length of the latus rectum of the following:
(i) y² = 16x
(ii) x² = 24y
(iii) y² = -8x
(iv) x² – 2x + 8y + 17 = 0
(v) y² – 4y – 8x + 12 = 0
Solution:
(i) y² = 16x

4a = 16
a = 4
(a) Vertex V (0, 0)
(b) Focus S(a, 0) = S(4, 0)
(c) Equation of the directrix x = – a
x = -4 ⇒ x + 4 = 0
(d) Length of the latus rectum = 4a = 4(4)
= 16

(ii) x² = 24y

(a) Vertex V (0, 0),
(b) Focus S (0, a) = S(0, 6)
(c) Equation of the directrix y = -a = -6
⇒ y + 6 = 0
(d) Length of the latus rectum = 4a
= 4 (6) = 24

(iii) y² = -8x
4a = 8,
a = 2

(a) Vertex V(0, 0) = ( 0, 0)
(b) Focus S(-a, 0) = (-2, 0)
(c) Equation of the directrix x = a = 2
x – 2 = 0
(d) Length of the latus rectum 4a = 8
(iv) x² – 2x + 8y + 17 = 0
x² – 2x = -8y – 17
(x – 1)² = -8y – 17 + 1
(x – 1)² = -8y – 16
(x – 1)² = -8(y + 2)
It is form of (x – h)² = -4a(y – k)
4a = 8 ⇒ a = 2
(a) Vertex be (h, k) = (1, -2)

(b) Foeus = (0 +h, -a + k) = (0 + 1, -2 – 2) = (1, -4)
(c) Equation of the directrix is y + k + a = 0
y – 2 + 2= 0
y = 0
(d) Length of latus rectum is 4a = 4 × 2 = 8 units,

(v) y² – 4y – 8x + 12 = 0

y² – 4y = 8x – 12
(y – 2)² = 8x – 12 + 4
= 8x – 8
= 8 (x – 1)
(y – 2)² = 8 (x – 1)
It is form of (y – k)² = Aa(x – h)
4a = 8 ⇒ a = 2
(a) Vertex (h, k) = (1, 2)
(b) Focus = (a+h, 0 + k) = (2 + 1, 0 + 2) = (3, 2)
(c) Equation of the directrix x = -a + h
= -2 + 1
= -1
x + 1 = 0
(d) Length of latus rectum is
4a = 4 × 2 = 8 units.

Question 5.
Identify the type of conic and find centre, foci, vertices and directrices of each of the following:
(i) \(\frac {x^2}{25}\) + \(\frac {y^2}{9}\) = 1
(ii) \(\frac {x^2}{3}\) + \(\frac {y^2}{10}\) = 1
(iii) \(\frac {x^2}{25}\) – \(\frac {y^2}{144}\) = 1
(iv) \(\frac {y^2}{16}\) – \(\frac {x^2}{9}\) = 1
Solution:
(i) \(\frac{x^{2}}{25}+\frac{y^{2}}{9}\) = 1
It is of the form \(\frac{x^{2}}{a^{2}}+\frac{y^{2}}{b^{2}}\) = 1, which is an ellipse
Here a² = 25, b² = 9
a = 5, b = 3
e² = \(\frac{a^{2}-b^{2}}{a^{2}}=\frac{25-9}{25}=\frac{16}{25}\) ⇒ e = \(\frac{4}{5}\)
Now e = \(\frac{4}{5}\) and a = 5 ⇒ ae = 4 and \(\frac{a}{e}=\frac{5}{4 / 5}=\frac{25}{4}\)
Here the major axis is along x axis
∴ Centre = (0, 0)
Foci = (± ae, 0) = (± 4, 0)
Vertices = (± a, 0) = (±5, 0)
Equation of directrix x = ± \(\frac{a}{e}\) (ie.,) x = ± \(\frac{25}{4}\)

(ii) \(\frac {x^2}{3}\) + \(\frac {y^2}{10}\) = 1
It is an ellipse. The major axis is along y axis

a² = 10 b² = 3
a = \(\sqrt {10}\) b = √3
c² = a² – b²
= 10 – 3 = 7
c = √7
ae = √7 .
\(\sqrt {10}\) = √7
e = \(\sqrt {\frac{7}{10}}\)
(a) Centre (0, 0)
(b) Vertex (0, ±a) = (0, ±\(\sqrt {10}\))
(c) Foci (0, ±c) – (0, ±√7)
(d) Equation of the directrix a
y = ±\(\frac{a}{e}\)
= ±\(\frac{\sqrt {10}}{√7}\).\(\sqrt {10}\) = ±\(\frac {10}{√7}\)
y = ±\(\frac {10}{√7}\)

(iii) \(\frac {x^2}{25}\) – \(\frac {y^2}{144}\) = 1
It is Hyperbola. The transverse axis the x axis.

a² = 25; b² = 144
a = 5; b = 12
c² = a² + b²
= 25 + 144 = 169
c = 13
ae = 13
5e = 13
e = \(\frac {13}{5}\)
(a) Centre (0, 0)
(b) Vertex (± a, 0) = (± 5, 0)
(c) Foci (± c, 0) = (± 13, 0)
(d) Equation of the directrix
x = ±\(\frac {a}{e}\) = ±\(\frac {5}{\frac{13}{5}}\) = ±\(\frac {25}{13}\)
x = ±\(\frac {25}{13}\)

(iv) \(\frac {y^2}{16}\) – \(\frac {x^2}{9}\) = 1
It is Hyperbola. The transverse axis the y axis.

a² = 16; b² = 9
a = 4; b = 3
c² = a² + b²
= 16 + 6 = 25
c = 5
ae = 5
4e = 5
e = \(\frac {5}{4}\)
(a) Centre (0, 0)
(b) Vertex (0, ±a) = (0, ±4)
(c) Foci (0, ±ae) = (0, ±5)
(d) Equation of the directrix
y = ±\(\frac {a}{e}\) = ±\(\frac {4}{\frac{5}{4}}\) = ±\(\frac {16}{5}\)
y = ±\(\frac {16}{5}\)

Question 6.
Prove that the length of the latns rectum of the hyperbola \(\frac {x^2}{a^2}\) – \(\frac {y^2}{b^2}\) = 1 is \(\frac {2b^2}{a}\)
Solution:
The latus rectum LL’ of an hyperbola \(\frac {x^2}{a^2}\) – \(\frac {y^2}{b^2}\) = 1 passes through S(ae, 0)
Hence L is (ae, y₁)

Hence proved

Question 7.
Show that the absolute value of the difference of the focal distances of any point P on the hyperbola is the length of its transverse axis.
Solution:

Let P be a point on the hyperbola.
Definition of conic
\(\frac {SP}{PM}\) = e; \(\frac {S’P}{PM’}\) = e
SP = e(PM) ……..(1)
S’P = e (PM’) ……….(2)
(2) – (1) ⇒ S’P – SP = e PM’- e PM
= e(PM’ – PM)
= e MM’
= e ZZ’
[∵ MM’ = ZZ’ = \(\frac {2a}{e}\) ]
= e(\(\frac {2a}{e}\))
S’P – SP = 2a (constant)
= length of the transverse axis.

Question 8.
Identify the type of conic and find centre, foci, vertices and directrices of each of the following:

(v) 18x² + 12y² – 144x + 48y + 120 = 0
(vi) 9x² – y² – 36x – 6y + 18 = 0
Solution:
(i) \(\frac {(x-3)^2}{225}\) + \(\frac {(y-4)^2}{289}\) = 1

It is an ellipse. The major axis is parallel to y axis
a² = 289, b² = 225
a = 17, b = 15
c² = a² – b²
= 289 – 225 = 64
c = 8
ae = 8
17e = 8
e = \(\frac {8}{17}\)
Centre (h, k) = (3, 4)
Vertices (h, ±a + k) = (3, 17 + 4) & (3, -17 + 4)!
= (3, 21) and (3, -13)
Foci (h + 0, ± c + k) = (3, 8 + 4) & (3, -8 + 4)
= (3, 12) and (3, -4)

(ii) \(\frac {(x+1)^2}{100}\) + \(\frac {(y-2)^2}{64}\) = 1
It is an ellipse. The major axis is parallel to the x-axis.
a² = 100, b² = 64
a = 10, b = 8
c² = a² – b²
= 100 – 64 = 36
c = 6
ae = 6
10 e = 6
e = \(\frac {6}{10}\) = \(\frac {3}{5}\)
centre (h, k) = (-1, 2)
vertices (h±a, k) = (-1±10, 2)
= (-1+10, 2) & (-1-10, 2)
= (9, 2) & (-11, 2)
foci (h±c, k) = (-1±6, 2)
= (-1+6, 2) & (-1-6, 2)
= (5, 2) & (-7, 2)
directrix x = ±\(\frac {a}{e}\) + h

(iii) \(\frac {(x+3)^2}{225}\) + \(\frac {(y-4)^2}{64}\) = 1
It is an hyperbola. The transverse axis is parallell to x axis.
a² = 225, b² = 64
a = 15, b = 8
c² = a² – b²
= 225 + 64
c² = 289
c = 17
ae = 17
5e = 17
e = \(\frac {17}{15}\)
centre (h, k) = (-3, 4)
vertices (h±a, k) = (-3±15, 4)
= (-3+15, 4) & (-3-15, 4)
= (12, 4) & (-18, 4)
foci (h±c, k) = (-3±17, 4)
= (-3+17, 4) & (-3-17, 4)
= (14, 4) & (-20, 4)
directrix x = ±\(\frac {a}{e}\) + h

(iv) \(\frac {(y-2)^2}{25}\) + \(\frac {(x+1)^2}{16}\) = 1
It is an hyperbola. The transverse axis is parallell to y axis.
a² = 25, b² = 16
a = ±5, b = 4
c² = a² + b²
= 25 + 16
= 41
c = \(\sqrt {41}\)
ae = \(\sqrt {41}\)
5 e = \(\sqrt {41}\)
e = \(\frac {\sqrt {41}}{5}\)
centre (h, k) = (-1, 2)
vertices (h, ±a + k) = (-1, ±5 + 2)
= (-1, 5 + 2) & (-1, -5 + 2)
= (-1, 7) & (-1, -3)
foci (h, ±c + k) = (-1, ±\(\sqrt {41}\) + 2)
= (-1, \(\sqrt {41}\) + 2) & (-1, –\(\sqrt {41}\) + 2)
directrix x = ±\(\frac {a}{e}\) + k

(v) 18x² + 12y² – 144x + 48y + 120 = 0
18x² – 144x + 12y² + 48y = -120
18 (x² – 8x) + 12 (y² + 4y) = -120
18 (x – 4)² + 12 (y + 2)² = -120 + 288 + 48
18(x – 4)² + 12 (y + 2)² = 216
\(\frac {18(x-4)^2}{216}\) + \(\frac {12(y+2)^2}{216}\) = 1
\(\frac {(x-4)^2}{12}\) + \(\frac {(y+2)^2}{18}\) = 1
It is an ellipse. The major axis is parallell to y axis.
a² = 18, b² = 12
a = \(\sqrt {18}\), b = 2√3
= 3 √2
c² = a² + b²
= 18 – 12
= 6
c = √6
ae = √6
3√2 e = √6
e = \(\frac {√6}{3√2}\) = \(\frac {√3}{3}\) = \(\frac {1}{√3}\)
centre (h, k) = (4, -2)
vertices (h, ±a + k) = (4, ±3√2 – 2)
= (4, 3√2 – 2) & (4, -3√2 – 2)
foci (h, ±c + k) = (4, ±√6 – 2)
= (4, ±√6 – 2) & (4, -√6 – 2)
directrix y = ±\(\frac {a}{e}\) + k
= ±\(\frac {3√2}{1}\) – 2
= ±3√6 – 2
y = 3√6 – 2 & y = -3√6 – 2

(vi) 9x² – y² – 36x – 6y + 18 = 0
9x² – 36x – y² – 6y = – 18
9(x² – 4x) – (y² + 6y) = -18
9(x – 2)² – (y + 3)² = -18 + 36 – 9
9(x – 2)² – (y + 3)² = 9
\(\frac {(x-2)^2}{1}\) – \(\frac {(y+3)^2}{9}\) = 1
It is hyperbola. The transverse axis is parallel to x axis.
a² = 1; b² = 9
a = 1; b = 3
c² = a² + b²
= 1 + 9
= 10
c = \(\sqrt {10}\)
ae = \(\sqrt {10}\)
e = \(\sqrt {10}\)
centre (h, k) = (2, -3)
vertices (h ± a, k) = (2 ± 1, -3)
= (2 + 1, -3) & (2 – 1, -3)
= (3, -3) & (1, -3)
foci (h ± c, k) = (2 ±\(\sqrt {10}\), -3)
= (2 + \(\sqrt {10}\), -3) & (2 –\(\sqrt {10}\), -3)
directrix x = ±\(\frac {a}{e}\) + h
= ±\(\frac {1}{\sqrt {10}}\) + 2 & x = –\(\frac {1}{\sqrt {10}}\) + 2

Tamilnadu State Board New Syllabus Samacheer Kalvi 12th Maths Guide Pdf Chapter 5 Two Dimensional Analytical Geometry – II Ex 5.1 Textbook Questions and Answers, Notes.

Tamilnadu Samacheer Kalvi 12th Maths Solutions Chapter 5 Two Dimensional Analytical Geometry – II Ex 5.1

Question 1.
Obtain the equation of the circles with a radius of 5 cm and touching the x-axis at the origin in a general form.
Solution:

Given radius = 5 cm and the circle is touching x axis
So centre will be (0, ± 5) and radius = 5
The equation of the circle with centre (0, ± 5) and radius 5 units is
(x – 0)² + (y ± 5)² = 5²
(i.e) x² + y² ± 10 y + 25 – 25 = 0
(i.e) x² + y² ± 10y = 0

Question 2.
Find the equation of the circle with centre (2, – 1) and passing through the point (3, 6) in standard form.
Solution:
Centre = (2, -1) = (h, k)
Passing through the point (3, 6)
Equation of the circle (x – h)² + (y – k)² = r² ………. (1)
(3 – 2)² + (6 + 1)² = r²
1² + 7² = r²
1 + 49 = r²
r² = 50
(1) ⇒ (x – 2)² + (y + 1)² = 50

Question 3.
Find the equation of circles that touch both the axes and pass-through (-4, -2) in a general form.
Solution:

Since the circle touches both the axes, its centre will be (r, r) and the radius will be r.
Here centre = C = (r, r) and point on the circle is A = (-4, -2)
CA = r ⇒ CA² = r²
(i.e) (r + 4)² + (r + 2)² = r²
⇒ r² + 8r +16 + r² + 4r + 4 – r² = 0
(i.e) r² + 12r + 20 = 0
(r + 2) (r + 10) = 0
⇒ r = -2 or -10
When r = -2, the equation of the circle will be (x + 2)² + (y + 2)² = 2²
(i.e) x² + y² + 4x + 4y + 4 = 0
When r = -10, the equation of the circle will be (x + 10)² + (y + 10)² = 10²
(i.e) x² + y² + 20x + 20y + 100 = 0

Question 4.
Find the equation of the circles with centre (2, 3) and passing through the intersection of the lines 3x – 2y – 1 =0 and 4x + y – 27 = 0.
Solution:
centre (2, 3) = (h, k)
Point of intersection
Solve 3x – 2y – 1 = 0 ………. (1)
4x + y – 27 = 0 ……… (2)
(1) ⇒ 3x – 2y = 1
(2) × 2 ⇒ 8x + 2y = 54
11x = 55
x = 5
put in (1)
15 – 2y – 1 = 0
14 = 2y
y = 7
Passing-through point is (5, 7)
Equation of circle be (x – h)² + (y – k)² = r² ……….(3)
(5 – 2)² + (7 – 3)² = r²
3² + 4² = r²
r² = 25
∴ (3) ⇒ (x – 2)² + (y – 3)² = 25
x² – 4x + 4 + y² – 6y + 9 – 25 = 0
x² + y² – 4x – 6y – 12 = 0

Question 5.
Obtain the equation of the circle for which (3, 4) and (2, -7) are the ends of a diameter.
Solution:
The equation of a circle with (x₁ , y₁) and (x₂ , y₂ ) as end points of a diameter is
(x – x₁ )(x – x₂) + (y – y₁ )(y – y₂) = 0
Here the end points of a diameter are (3, 4) and (2, -7)
So equation of the circle is (x – 3 )(x – 2 ) + (y – 4) (y + 7.) = 0
x² + y² – 5x + 37 – 22 = 0

Question 6.
Find the equation of the circle through the points (1, 0), (-1, 0) and (0, 1).
Solution:
Let the general equation of the circle be
x² + y² + 2gx + 2fy + c = 0
It passes through the points (1, 0), (-1, 0) and (0,1)
1 + 0 + 2g + c = 0
2g + c = -1 ………(1)
1 + 0 – 2g + c = 0
-2g + c = -1 …………(2)
0 + 1 + 0 + 2f + c = 0
2f + c = -1
(1) + (2) ⇒ 2c = -2
c = -1
substitute in eqn (1)
2g – 1 = -1
2g = 0
g = 0
substitute in eqn (3)
2f – 1 = -1
2f = -1 + 1
2f = 0
f = 0
Therefore, the required equation of the circle
x² + y² – 1 = 0

Question 7.
A circle of area 9π square units has two of its diameters along the lines x + y = 5 and: x – y = 1. Find the equation of the circle.
Solution:

Area of the circle = 9π
(i.e) πr² = 9π
⇒ r² = 9 ⇒ r = 3
(i.e) radius of the circle = r = 3
The two diameters are x + y = 5 and x – y = 1
The point of intersection of the diameter is the centre of the circle = C
To find C: Solving x + y = 5 ……… (1)
x – y = 1 ………. (2)
(1) + (2) ⇒ 2x = 6 ⇒ x = 3
Substituting x = 3 in (1) we get
3 + y = 5 ⇒ y = 5 – 3 = 2
∴ Centre = (3, 2) and radius = 3
So equation of the circle is (x – 3)² + (y – 2)² = 3²
(i.e) x² + y² – 6x – 4y + 4 = 0

Question 8.
If y = 2√2 x + c is a tangent to the circle x² + y² = 16, find the value of c.
Solution:
The condition of the line y = mx + c to be a tangent to the circle x² + y² = a² is
c² = a²( 1 + m²)
a² = 16; m = 2√2 ⇒ m² = 4 × 2 = 8
c² = 16(1+8)
c² = 16(9)
c = ±4 × 3 = ±12
∴ c = ± 12.

Question 9.
Find the equation of the tangent and normal to the circle x² + y² – 6x + 6y – 8 = 0 at (2, 2).
Solution:
The equation of the tangent to the circle x² + y² + 2 gx + 2fy + c = 0 at (x₁, y₁) is
xx₁ + yy₁ + g(x + x₁) + f(y + y₁) + c = 9
So the equation of the tangent to the circle
x² + y² – 6x + 6y – 8 = 0 at (x₁, y₁) is
xx₁ + yy₁ – \(\frac{6\left(x+x_{1}\right)}{2}+\frac{6\left(y+y_{1}\right)}{2}\) – 8 = 0
(i.e) xx₁ + yy₁ – 3(x + x₁) + 3(y + y₁) – 8 = 0
Here (x₁, y₁) = (2, 2)
So equation of the tangent is
x(2) + y(2) – 3(x + 2) + 3(y + 2) – 8 = 0
(.i.e) 2x + 2y – 3x – 6 + 3y + 6 – 8 = 0
(i.e) -x + 5y – 8 = 0 or x – 5y + 8=0
Normal is a line ⊥r to the tangent
So equation of normal circle be of the form 5x + y + k = 0
The normal is drawn at (2, 2)
⇒ 10 + 2 + k = 0 ⇒ k = -12
So equation of normal is 5x + y – 12 = 0

Question 10.
Determine whether the points (- 2, 1), (0, 0) and s (- 4, – 3) lie outside, on or inside the circle x² + y² – 5x + 2y – 5 = 0.
Solution:
x² + y² – 5x + 2y – 5 = 0
(i) At (-2, 1) ⇒ (-2)² + 1² – 5(-2) + 2(1) – 5
= 4 + 1 + 10 + 2 – 5 = 12 > 0
∴ (-2, 1) lies outside the circle.

(ii) At(0, 0) ⇒ 0 + 0 – 0 + 0 – 5 = -5 < 0
(0, 0) lies inside the circle.

(iii) At (-4, -3) ⇒ (-4)² + (- 3)² – 5(-4) + 2(-3) – 5 = 16 + 9 + 20 – 6 – 5 = 34 > 0
(-4, -3) lies outside the circle.

Question 11.
Find the centre and radius of the following circles.
(i) x² + (y + 2)² = 0
(ii) x² + y² + 6x – 4y + 4 = 0
(iii) x² + y² – x + 2y – 3 = 0
(iv) 2x² + 2y² – 6x + 4y + 2 = 0
Solution:
(i) x² + (y + 2)² = 0
(i.e) x² + y² + 4y + 4 = 0
Comparing this equation with the general form x² + y² + 2gx + 2fy + c = 0
we get 2g = 0 ⇒ g = 0
2f = 4 ⇒ f= 2 and c = 4
Now centre = (-g, -f) = (0, -2)
Radius = r = \(\sqrt{g^{2}+f^{2}-c}=\sqrt{0+4-4}\)
∴ Centre = (0, -2) and radius = 0

(ii) x² + y² + 6x – 4y + 4 = 0
Comparing with the general form we get
2g = 6, 2f = -4
⇒ g = 3, /= -2 and c = 4
Centre = (-g, -f) = (-3, 2)
Radius = \(\sqrt{g^{2}+f^{2}-c}=\sqrt{9+4-4}\)= 3
∴ Centre = (-3, 2) and radius = 3

(iii) x² + y² – x + 2y – 3 = 0
2g = -1; 2f = 2; c = -3
g = \(\frac{-1}{2}\) f = 1
Centre (-g, -f) = (\(\frac{1}{2}\), -1)
Radius = \(\sqrt{g^2+f^2-c}\) = \(\sqrt{\frac{1}{4}+1+3}\)
\(\sqrt{\frac{1+4+12}{4}}\)
\(\sqrt{\frac{17}{4}}\) = \(\frac{\sqrt{17}}{2}\)

(iv) 2x² + 2y² – 6x + 4y + 2 = 0
(÷ by 2) ⇒ x² + y² – 3x + 2y + 1 =0
Comparing this equation with the general form of the circle we get
2g = -3, 2f= 2
g = \(-\frac{3}{2}\), g= 1 and c = 1
So centre = (-g, -f) = (\(\frac{3}{2}\), -1)
and radius = \(\sqrt{g^{2}+f^{2}-c}=\sqrt{\frac{9}{4}+1-1}=\frac{3}{2}\)
∴ Centre = (\(\frac{3}{2}\), -1) and radius = \(\frac{3}{2}\)

Question 12.
If the equation 3x² + (3 – p) xy + qy² – 2px = 8pq represents a circle, find p and q. Also determine the centre and radius of the circle.
Solution:
3x² + (3 – p) xy + qy² – 2px = 8pq represent a circle means,
Co-efficient of x² = co-efficient of y²
3 = q ⇒ q = 3
Co-efficient of xy = 0
3 – p = 0 ⇒ p = 3
3x² + 3y² – 6x = 8 (3)(3)
3x² + 3y² – 6x – 72 = 0
(÷3) x² + y² – 2x – 24 = 0
2g = -2; 2f = 0; c = -24
g = -1 f = 0
Centre (-g, -f) = (1, 0)
Radius = \(\sqrt{g^2+f^2-c}\) = \(\sqrt{1+0+24}\)
= \(\sqrt{25}\) = 5

Students can Download Tamil Nadu 11th English Model Question Paper 5 Pdf, Tamil Nadu 11th English Model Question Papers helps you to revise the complete Tamilnadu State Board New Syllabus, helps students complete homework assignments and to score high marks in board exams.

TN State Board 11th English Model Question Paper 5

General Instructions:

1. The question paper comprises of four parts.
2. You are to attempt all the parts. An internal choice of questions is provided wherever applicable.
3. All questions of Part I, II, III and IV are to be attempted separately.
4. Question numbers 1 to 20 in Part I are Multiple Choice Questions of one mark each.
   These are to be answered by choosing the most suitable answer from the given four alternatives and writing the option code and the corresponding answer
5. Question numbers 21 to 30 in Part II are two-mark questions. These are to be answered in about one or two sentences.
6. Question numbers 31 to 40 in Part III are three-mark questions. These are to be answered in above three to five short sentences.
7. Question numbers 41 to 47 in Part IV are five-mark questions. These are to be answered in detail Draw diagrams wherever necessary.

Time: 3:00 Hours
Maximum Marks: 90

PART – I

I. Answer all the questions. [20 × 1 = 20]
Choose the correct synonyms for the underlined words from the options given.

Question 1.
The place was a bedlam for birds.
(a) pandemonium
(b) peace
(c) serenity
(d) transition
Answer:
(a) pandemonium

Question 2.
He enlightened them with bon-mots.
(a) repartee
(b) wit
(c) challenges
(d) goodies
Answer:
(b) wit

Question 3.
Words of praise and adulation were showered on the debut artist.
(a) blasphemy
(b) condemnation
(c) aversion
(d) exaltation
Answer:
(d) exaltation

Choose the correct antonyms for the underlined words from the options given.

Question 4.
The princely sum was a stumbling block for her career.
(a) generous
(b) substantial
(c) prime
(d) meagre
Answer:
(d) meagre

Question 5.
Retaining my world cup was one of my greatest achievements.
(a) holding
(b) rescuing
(c) losing
(d) reviving
Answer:
(c) losing

Question 6.
I was so relieved to get my transfer order.
(a) delighted
(b) worried
(c) pleased
(d) comforted
Answer:
(b) worried

Question 7.
Choose the blended form of, “telecast”.
(a) television + broad cast
(b) television + cast
(c) tele + broad cast
(d) tele + cast
Answer:
(a) television + broad cast

Question 8.
Choose the right definition for the given term “choreography”.
(a) The art of designing steps in ballet or another staged dance, or the written steps for such movements
(b) The process of giving some of your work, duties, or responsibilities to a less senior person or a less powerful person
(c) A student of bees
(d) One who accumulates; one who collects
Answer:
(a) The art of designing steps in ballet or another staged dance, or the written steps for such movements

Question 9.
Choose the meaning of the idiom ‘At the drop of a hat’.
(a) To hear rumours about someone
(b) Do or say something exactly right
(c) To go to bed
(d) Without any hesitation; instantly
Answer:
(d) Without any hesitation; instantly

Question 10.
Choose the meaning of the foreign word in the sentence.
Leo was disappointed, but his losing the election for class president was a fait accompli.
(a) faithful friend
(b) established fact
(c) accomplished scholar
(d) standard issue
Answer:
(b) established fact

Question 11.
Choose the word from the options given to form a compound word with “child”.
(a) person
(b) hood
(c) bed
(d) call
Answer:
(b) hood

Question 12.
Form a new word by adding a suitable prefix to the root word “taken”.
(a) un
(b) mis
(c) dis
(d) en
Answer:
(b) mis

Question 13.
Choose the expanded form of “IIM”.
(a) Indian Institute of Minorities
(b) Indian Institute of Managers
(c) Indian Institute of Marine
(d) Indian Institute of Management
Answer:
(d) Indian Institute of Management

Question 14.
Choose the correct sentence pattern.
He loves his profession.
(a) SVO
(b) SVOC
(c) SVOA
(d) SVC
Answer:
(a) SVO

Question 15.
A collection of selected literary passages is known as ………….
(a) Phenomenology
(b) Anthology
(c) Phrenology
(d) Homology
Answer:
(b) Anthology

Question 16.
Fill in the blank with the suitable preposition.
Many people travel to Kerala to work ………… small companies.
(a) in
(b) under
(c) on
(d) with
Answer:
(a) in

Question 17.
Add a suitable question tag to the following statement.
Priyanka dances well,………?
(a) isn’t she
(b) doesn’t she
(c) won’t she
(d) will she
Answer:
(b) doesn’t she

Question 18.
Substitute the underlined word with the appropriate polite alternative.
The shoes looked like they had been stolen.
(a) theft
(b) lost
(c) damaged
(d) had fallen off the back of a truck
Answer:
(d) had fallen off the back of a truck

Question 19.
Substitute the phrasal verb in the sentence with a single word.
Your statement will not stand up as proof in the court of law.
(a) oppose
(b) accept
(c) deny
(d) support
Answer:
(d) support

Question 20.
Fill in the blank with a suitable relative pronoun
Tell me the name of the student ………….. you want to meet.
(a) whom
(b) which
(c) that
(d) whose
Answer:
(a) whom

PART – II

II. Answer any seven of the following: [7 × 2 = 14]
(i) Read the following sets of poetic lines and answer any four of the following. [4 × 2 = 8]

Question 21.
“I have learned to wear many faces Like dresses – home face”
(а) What has the poet learned?
(b) Mention the figure of speech employed in this line.
Answer:
(a) The poet has learned to put on appearances to conform to the changed attitude of people in modem times.
(b) Simile

Question 22.
“For he’s a fiend in feline shape, a monster of depravity.”
(a) Identify the poem and the poet.
(b) Explain the phrase ‘monster of depravity’.
Answer:
(a) The poem is ‘Macavity – The Mystery Cat’ written by T.S. Eliot.
(b) Satan is called the master of depravity. T.S. Eliot calls Macavity, the master of depravity. He means that the cat is an embodiment of evil. He is wicked and all the time involved in doing something evil.

Question 23.
“A life that knows no kneeling and bending.
We are proud and feel so tall”
(a) Who does we refer to?’
(b) What has life never experienced?
Answer:
(a) ‘We’ refers to ordinary people who live noble lives.
(b) The life of ordinary people who have not experienced kneeling or bending before the mighty. They are able to stand firm on defending the truth.

Question 24.
“Infusing him with self and vain conceit,
As if this flesh which walls about our life”
(a) Who has vain conceit?
(b) Explain the above lines.
Answer:
(a) The king has vain conceit.
(b) Death knows that all great kings must come to him. For a brief time death is generous and allows kings to rule and to be feared by their subjects. Death allows them to feel conceited and proud with an inflated image of ‘self’.

Question 25.
“And I must think, do all I can,
That there was pleasure there…”
(a) What did the poet notice about the twigs?
(b) What was the poet’s thought about then?
Answer:
(a) The budding twigs spread out their fan to catch the breezy air.
(b) The poet thought the twigs were experiencing the joy of their contact with the breezy air.

Question 26.
“This one the prize ring hates to enter
That one becomes a tackle or center,”’
(a) What game/sports is associated with “prize ring”?
(b) Which game is discussed in the second line?
Answer:
(a) Prize ring is associated with boxing.
(b) Football is discussed in the second line.

(ii) Do as Directed: (Answer any three) [3 × 2 = 6]

Question 27.
Report the following dialogue:
Tara: I went to Hyderabad to attend a seminar on environmental pollution.
Harsha: I am going to the library. Are you coming with me?
Answer:
Tara asked Harsha where he was going then. Harsha replied that he was going to the library and asked if I were coming with him.

Question 28.
Change into active voice of the following sentence.
Answer:
Alas! Her voice shall not be heard by his friends anymore.
Alas! His friends will not hear her voice anymore.

Question 29.
I did not know that you are going to visit us. I would have come to the airport. (Combine using ‘if’)
Answer:
If I had known that you were going to visit us, I would have come to the airport.

Question 30.
He was ill, but he came for practice. (Change into a compound sentence)
Besides being a good writer he is an outstanding lecturer.
Answer:
He is not only a good writer but also an outstanding lecturer.

PART – III

III. Answer any seven of the following: [7 × 3 = 21]
(i) Explain any two of the following with Reference to the Context: [2 × 3 = 6]

Question 31.
Once upon a time, son
They used to laugh with their eyes:
Answer:
Reference: These lines are from the poem, “Once upon a time” written by Gabriel Okara.

Context: The poet says these words to his son while discussing his own happy childhood days.

Explanation: The poet compares the behaviour of people in the past and those in modern . times. He tells his son that people in the past used to laugh with their eyes. There was an expression of genuine warmth among people when they laughed.

Question 32.
We deem it our duty and mission in life,
To bless and praise the deserving ones;
Answer:
Reference: These lines are from the poem “Everest is not the Only Peak” written by Kulothungan.

Context: The poet says these words highlighting the virtues of unsung heroes, who adhere to their ethical principles in life.

Explanation: They consider it their duty and mission to identify deserving people with natural talents and bless and appreciate them.

Question 33.
Let’s talk of graves, of worms, and epitaphs.
Answer:
Reference: These lines are from the poem “The Hollow Crown” by William Shakespeare. The poem is an excerpt from the play “Richard II”.

Context: King Richard II says these words while waiting for death. He is totally dejected.

Explanation: King Richard II thinks of words which could figure in the epitaph (i.e.) on his tomb stone. Being sure of death in the hands of Bolingbroke he requests his loyal courtiers to talk about death and about burial.

(ii) Answer any two of the following briefly: [2 × 3 = 6]

Question 34.
Why did Mary Kom think that she should not return empty-handed?
Answer:
Mary Korn’s dad had given all he had for her trip to USA. Besides, her friends had raised funds through MPs. They had pinned their hopes on her. So, she thought she should not return empty handed.

Question 35.
What made people wonder about the absentmindedness of their fellow-beings?
Answer:
The publication of articles lost by train travellers astonished many readers. Old people did not forget much. In fact, young men have forgotten bats and balls on their return from matches.

Question 36.
Enumerate the values instilled in the students by the Universities.
Answer:
Universities instill the values of robust optimism, respect for democracy and appreciation of others’ point of view. It also develops adjustment of differences through discussion; develop patience, perseverance, confidence, faith in themselves and others. They also instill confidence in their ability to shoulder responsibilities.

(iii) Answer any three of the following briefly: [3 × 3 = 9]

Question 37.
Re-arrange the shuffled words and frame into meaningful sentences, (change to pie chart/graph or table)

1. you/where/have/this/all/while/been?
2. this/we/visiting/Shimla/are/summer.
3. the/all/of/art/the/of/science/questions/is/and/knowledge/asking/source/

Answer:

1. Where have you been all this while?
2. We are visiting Shimla this summer.
3. The art and science of asking questions is the source of all knowledge!

Question 38.
Describe the process of Book-binding.
Answer:

1. Firstly, the pages are carefully arranged page wise. Any folding found is removed.
2. They are then arranged into sections and stitched.
3. The sides of the book are cut neatly and covered with a suitable brown paper.
4. Two card board sheets slightly bigger than the book must be pasted on both sides.
5. A calico cloth should be pasted on the closed side of the book to hold the cardboards and be allowed to dry.

Question 39.
Expand the news headlines in a sentence each.
(a) Suman Rao selected the new Miss India.
(b) 12 Injured as Buses Collide.
(c) Indian Team on the high in T20s in England.
Answer:
(a) 20-year old Miss Rajasthan 2019, Suman Rao, was awarded the most covetous crown Miss India at the finals held at Sardar Vallabhbhai Patel Indoor Stadium, Mumbai.

(b) Due to poor visibility of street lights and negligence of the State Transport Drivers two buses collided on the narrow stretch of Nammakal district near Ambedkar statue. 12 passengers including a six month old baby boy were rushed to the nearby Government hospital for treatment.

(c) Indian Team bagged the winner’s trophy and is expected to return next Monday at the Mumbai airport.

Question 40.
Complete the proverbs using the words given below.
(а) The harder you ………… the luckier you get. (throw, work, try)
(b) There is no time like the ……….. (present, future, past)
(c) ……….. and tide wait for no man. (Wind, Sea, Time)
Answer:
(a) work
(b) present
(c) Time

PART – IV

IV. Answer the following: [7 × 5 = 35]

Question 41.
How does the speaker highlight the importance of giving back to the society?
Answer:
The graduates have drawn largely from the social chest. The largest taken from the society needs to be replenished. If graduates fail to pay back, ordinary people’s coffer will be empty. The supervisor’s education enjoins greater responsibility to society. Apart from their own individual advancement, society has got a right to expect an adequate return from the graduates.

The society does not expect them to payback in cash. But they must pay back in terms of service. They should tone up the society by bringing a light into the dark alleys. They should herald sunshine into dingy places. They must give solace to the affiliated people. They should also give hope unto the despondent and thus ensure a new life unto every one.

[OR]

As a narrator, make a diary entry about the tight corner you faced at Christie’s and how you were saved from the dire situation.
Answer:
Thursday, 17th Nov. 20xx
I was lunching at a club in King James’s street. While passing along Kingstreet later, my friend suggested that we peeped in at Christie’s where an auction of Barbizon pictures was going on. The pieces of the paintings were pertaining to forest scenes, pools at evening, shepherdesses, and the regular subjects were tremendous for each ranging from two to three thousand guineas each. The remarkable thing was that nothing was sold at three figures.

After watching the auction for fun for a while I found myself bidding. I had exactly sixty three pounds in my account in the bank. I knew that any bidder must have a minimum of five hundred pounds in the bank to stand as security to bid for the artistic works. I enthusiastically participated in many bids as the starting price for each painting was a modest fifty to hundred guineas. Things went on well for me for quite sometime. But a cruel fate awaited me. A short red-faced man electrified the room by fixing the starting price at 4000 guineas. There was a rustle of excitement followed by terrible silence. But I found myself saying “and fifty”.

The dealer looked at the opener and at the company. To my surprise and horror, the dealer shot his bolt. My heart stopped and my blood congealed. I was in possession of the picture I did not want to buy. I was the top purchaser in the auction with just 63 pounds in the bank account. I turned to my friend for some moral support but he had deserted me to have a hearty laugh at a distance. With great alarm, I saw many other Barbizon pictures being put up and sold.

The auction came to an end. The bidders stood in a queue to pay the price and collect the pictures. I stayed behind at the end of the queue as I could not recall the name of any uncle, aunt or even a relative who could offer me 4050 guineas to buy the painting. I wished that a firing squad could give me a welcome relief by shooting me down. I preferred death to public disgrace.

But something divine turned my tragedy into a comedy. Just then one gentleman enquired if I was the gentlemen who bought “big Daubigny”. I admitted. The mediator asked if I could take 50 guineas for my interest and give up my claim. I would have hugged him and wept for joy of relief from the tight comer. But I had the guile/presence of mind to ask, “Is that the most he would offer?”

The mediator said that there was no harm in trying for a bit more. I said, “Tell him I will take hundred” myself and my friend started laughing. But when I saw the cheque for hundred guineas, I became grave. My friend said to me that it was he who brought me to Christie. I admitted, “I shall never forget it. It is indelibly branded in letters of fire on my heart”.

Question 42.
Describe the various reasons for King Richard’s grief and distress.
Answer:
King Richard II is a popular king. He has many nobles at the service. His rebellious cousin Bolingbroke attacks him with 10,000 men on his side. He sends message to the Welsh King for sending his army to defeat Bolingbroke. But to his shock, Welsh army is not sent. He realizes with alarm the terrible fate he would suffer in the hands of his foe and his most impending death in captivity. King Richard is reminded of the power of death that overshadows everything else. Death scoffs at the power of rulers.

Losing the battle, non¬receipt of Welsh army and the prospect of being jailed and killed worries Richard II. He realizes that in the hollow crown death had reigned him. In fact, death, a jester had misled him to believe that he was monarchising England. He can now only own a small patch of barren land. He is not an impregnable castle of brass anymore. He is an ordinary mortal. He too needs friends and needs to taste grief and face death.

[OR]

The poem ’Everest is not the only peak’ does not focus on the destination but the journey towards it. Discuss.
Answer:
The poet discusses the merits of efforts, duty and devotion and values of honesty, uprightness and service-mindedness. He does not have any special appreciation to those who reach great peaks like Himalayas. He appreciates the process, the journey and not the destination. When the whole world has a perspective of seeking glory using any foul method or underhand dealing, the poet differs from it.

For him the means is more important than the end. However modest may be one’s position is, it is adorable if attained by competence and merit. Pride is not in heights one reaches but in a life that knows no bending or kneeling. The poet respects one who does not stoop as a king. Thus the poet pays importance to the journey of life not the destination.

Question 43.
Write an essay of about 150 words by developing the following hints.
“After Twenty Years,” – time – 10 o’clock at night, – depeopled the streets – Only two men – on street – that night – policeman approaches – lurking man – light from his match – shows a pale face – keen eyes, a scar in eyebrow – a scarf pin – diamond – expensive watch – all hints as to the man’s past.
Answer:
The short story “After Twenty Years” Jakes place around 10 p.m. along a dark, windy New York City business avenue, mostly within the darkened doorway of a closed hardware-store.- This particular location had been a restaurant until five years ago. The plot begins with a policeman “on the beat” who discovers a.man standing in the dark doorway. The man then proceeds to explain why he is there. He and his best friend, Jimmy Wells had parted exactly twenty years ago to make their fortunes and had promised to meet at that spot “After Twenty Years”. He had gone west and gotten rich and was sure his friend, Jimmy would meet him if he were alive.

They talked a while and the policeman carried on. The man from the west wonders if his friend will come. The drama increases in anticipation of the rendezvous. Twenty minutes later, another man, whom we assume is his long lost friend, greets him warmly and they walk arm in arm discussing careers until they come to a well-lit comer near a drug store.

The man from the west gets a good look at his companion and discovers that he is not his friend, Jimmy. We are treated to several surprises for the man from the west is under arrest and secondly he is actually ‘Silky Bob’, a gangster from Chicago and finally the stranger is a plainclothes policeman. However, it seems that these three surprises are not enough. We get the “real” surprise when Jimmy Wells, the original policeman didn’t have the heart to arrest Bob, because he was his friend.

[OR]

Narrator – wants – photograph – photographer wait for an hour – comments – angry – called on Saturday – proof – Narrator shocked – photograph – not like him – worthless bauble.
Answer:
‘With the Photographer’ by Stephen Leacock is narrated in the first person. The narrator while sitting in the photographer’s studio begins to read some magazines and sees how other people look and the narrator begins to feel insecure about his appearance. It is also noticeable that the photographer takes a dislike to his face judging it to be wrong. What should have been a simple process of taking a photograph becomes something of a nightmare for the narrator. How confident the narrator becomes is noticeable when he returns to the photographer’s studio the following Saturday.

He realises that the photograph that has been taken of him looks nothing like him. This angers the narrator as he was simply looking for a photograph that would show his likeness. He accepts that he may not be to everybody’s liking when it comes to his physical appearance but is angered by the changes made. The photographer has retouched the photograph so much that the narrator does not recognise himself. The end of the story is also interesting as the reader realises that it is just a worthless bauble when he begins to cry. He has been judged solely by his appearance by the photographer whose job was to simply take a life like photograph.

Question 44.
Write a summary or Make notes of the following passage.
Answer:
The greatness of a country depends upon its people. India is fortunate to have vast human resources. Our countrymen are second to none in intelligence and in doing hard work. From the ancient period Indians excelled in art, architecture, knowledge of metals, medicines, literature etc., After our independence in 1947, the Government took steps to improve our country in all sphere. By the first Five-Year Plan was specially designed to improve our irrigational methods.

By the five year plans, provisions are made for the development of the country. The first Five-Year Plan was specially designed to improve our irrigational methods. By the green revolution we attained self sufficiency in the field of agricultural production. The present age is the atomic age. India too established an Atomic Energy Commission under the guidance of Dr. BhabhaI India made the first successful nuclear explosion on 18th Mary, 1974 which made India the sixth member of the world nuclear club. No other country’s scientists helped; it was purely Indian efforts. We have sent our Indian cosmonaut to space also. On April 3, 1984 Shri Rakesh Sharma, the best pilot of Indian Air Forse, travelled into space with two Soviet spacemen in Spyuz II spaceship.
Answer:
Summary
No. of words given in the original passage: 199
No. of words to be written in the summary: 199/3 = 66 ± 5

Rough Draft
India is fortunate to have vast human resources. Our countrymen are second to none in inteIligence and in doing hard work. Ancient Indians excelled in art, architecture, metallurgy, medicine, literature etc., After Independence, by the five year plans, provisions are made for the development of the country. By the green revolution self sufficiency in agricultural production was attained. Present age is the atomic age. An Atomic Energy Commission under the guidance of Dr. Babha. Due to the successful nuclear explosion in 1974, India the sixth member of the world nuclear club. It was purely Indian efforts. We have to sent Rakesh Sharma to space in Soyuz II.

Fair Draft
Greatness of India
India is fortunate to have vast human resources. Ancient Indians excelled in art, architecture, metallurgy, medicine, literature etc. After Independence by the green revolution self sufficiency in agricultural production was attained. Present age is the atomic age. Atomic Energy Commission was established under the guidance of Dr. Bhabha. Due to the successful nuclear explosion in 1974, India is the sixth member of the world nuclear club.

No. of words in the summary: 64

[OR]

Note-making
Title: Greatness of India
Answer:
1. Greatness of the country
people
our country men are second to none
from the ancient times Indians excelled in arts, architecture, metallurgy, medicine, literature etc.

2. Post Independence
government took steps to improve in all spheres
the first five-year plan was designed
Green Revolution attained self sufficiency

3. Present age
atomic age
India made the first nuclear explosion in 1974
sixth member of the world nuclear club
India sent cosmonaut, Shri Rakesh Sharma to space with two Soviet spacemen in Soyuz II spaceship.

Question 45.
You are Anita. You recently visited a hill station along with your parents. It was an exhilarating, adventurous and joyful experience. Write a letter to your friend sharing your experience in 150-200 words.
Answer:

25th June, 2020

From
Anitha
6, West street,
Chennai
To
Mercy
6, Abraham Street
PeriyarNagar
Chennai – 600 014

Dear Mercy,
Hope my letter finds you in the best of your health. Have you been to your grandparents house for vacation? I had recently gone to Matheran with my parents and really missed you. Matheran is the smallest hill station in the Indian state of Maharashtra and is located on the Western Ghats range at an elevation of around 800 m above sea level. It is about 90 km from Mumbai. Matheran’s proximity to many metropolitan cities makes it a popular weekend getaway for urban residents. Matheran, which means “forest on the forehead” is an eco-sensitive region declared by the Government of India.

It is Asia’s only automobile-free hill station. Doesn’t that spark an exhilarating, adventurous and joyful experience? Yes, from the foothills of the mountain, you either need to walk up the mountain to lodges and cottages there for your accommodation or need to hire Cycle rickshaws or ponies to travel. We all took a horse each and my little brother got on to a pony. Our baggage was loaded on to a wheel barrow to be brought up to our destination.

There are around 38 designated viewpoints in Matheran, including the Panorama Point that provides a 360-degree view of the surrounding area and also the Neral town. From this point, the view of sunset and sunrise is dramatic. The Louisa Point offers crystal clear view of the Prabal Fort. The other points are the One Tree Hill Point, Heart Point, Monkey Point, Porcupine Point, Rambagh Point, and more. We stayed in a Parsi bungalow. Beautiful old British-style architecture is preserved in Matheran. The roads are not metalled and are made of red laterite earth. As anticipated, there are many monkeys around and even the summer season was very pleasant.

I hope to visit the place again and I hope we will get an opportunity to visit it together. Why don’t you ask your parents if both our families could go to Matheran during our next vacation? My parents too were talking about going there again since it’s such a pollution free spot to relax and enjoy. Looking forward to meeting you in person to share the photographs we have taken here.

Yours loving friend,
Anita
Address on the Envelope
To
Mercy
6, Abraham Street
PeriyarNagar
Chennai – 600 014

[OR]

Write an essay in about 150 words on ‘Punctuality’
Answer:
Punctuality is essential to succeed in one’s career. In business schools, Time management is also taught. Those who are punctual prove that they respect the time of those whom they visit. Those who have missed interviews, flights, Olympic golds and even the opportunity to win goes by milliseconds know the value of time. We should cultivate the quality of being punctual right from our student days. Maintaining a calendar of action and keeping track of time all the time would help one to be punctual. God gives twenty four hours to each one of us, if we are punctual and make most of the given time we would definitely succeed in life.

Question 46.
Read the following sentences, spot the errors and rewrite the sentences correctly.
(a) There is an University at Madurai.
(b) He is confident on his success.
(c) Though he is old but he walks steadily.
(d) Sam is junior than me.
(e) His father is a honest man.
Answer:
(a) There is a University at Madurai.
(b) He is confident of his success.
(c) Though he is old he walks steadily.
(d) Sam is junior to me.
(e) His father is an honest man.

[OR]

Fill in the blanks appropriately.
(a) The story told by the ……….. fat man is not ………… (credible/credulous)
(6) My keys ……….. be in the car. (Fill in with a modal verb)
(c) This watch …………. belong to my father, (use semi-modal)
(d) The strike was announced ………… the disagreement between the management and the employees on the bonus issue. (Use a suitable link word)
Answer:
(a) credulous, credible
(b) must
(c) used to
(d) on account of

Question 47.
Identify each of the following sentences with the fields given below.
(a) Robots are steadily moving from fiction to fact.
(b) Examination should evaluate all aspects of learning.
(c) Indian players have performed well in the Commonwealth Games.
(d) Napoleon Bonaparte was considered an enlightened monarch of France.
(e) “Health is Wealth” but pollution takes it all away.
(Sports, Environment, History, Science, Education)
Answer:
(a) Science
(b) Education
(c) Sports
(d) History
(e) Environment

[OR]

Read the following passage carefully and answer the questions that follow.

I have always been attracted by people of unusual habits. By this, I do not imply hippies and drop-outs or anyone of that band of unhappy people for whom modem society is too sick and uncivilized to bear. No, I mean those quiet, orderly people, living apparently blameless lives, who enrich their har humdrum existences by adopting odd quirks and passions, unlikely, routines or harmless manias for useless objects. Like the secretary I had, who collected earwigs, though what she did with them I never knew, I believe that she loved them because they were small and thin like herself and had a way of scuttling about in very much the same way she did. Life, I am sure, would be very much poorer without such people in it. Sometimes, I feel I am lacking in personality, since I have none of these strange habits.. Unless you count the fact that I never eat eggs unless they are boiled in milk.
Questions.

1. What attracted the author?
2. According to the author, who are the people who have unusual habits?
3. What did the author’s secretary collect?
4. Why did she love them, according to the author?
5. Do you think that the author has any strange habit? If so, what is it?

Answer:

1. Unusual habits of others attracted the author.
2. Quite orderly people living blameless lives have unusual habits.
3. The author’s secretary collected ‘earwigs’.
4. They were small and thin like herself scuttling about.
5. Yes, he has a habit of eating eggs which are only boiled in milk.

Students can Download Tamil Nadu 11th English Model Question Paper 4 Pdf, Tamil Nadu 11th English Model Question Papers helps you to revise the complete Tamilnadu State Board New Syllabus, helps students complete homework assignments and to score high marks in board exams.

TN State Board 11th English Model Question Paper 4

General Instructions:

1. The question paper comprises of four parts.
2. You are to attempt all the parts. An internal choice of questions is provided wherever applicable.
3. All questions of Part I, II, III and IV are to be attempted separately.
4. Question numbers 1 to 20 in Part I are Multiple Choice Questions of one mark each.
   These are to be answered by choosing the most suitable answer from the given four alternatives and writing the option code and the corresponding answer
5. Question numbers 21 to 30 in Part II are two-mark questions. These are to be answered in about one or two sentences.
6. Question numbers 31 to 40 in Part III are three-mark questions. These are to be answered in above three to five short sentences.
7. Question numbers 41 to 47 in Part IV are five-mark questions. These are to be answered in detail Draw diagrams wherever necessary.

Time: 3:00 Hours
Maximum Marks: 90

PART – I

I. Answer all the questions. [20 × 1 = 20]
Choose the correct synonyms for the underlined words from the options given.

Question 1.
She yanked at the zip of the bag.
(a) jerked
(b) yearned
(c) yelled
(d) jumped
Answer:
(a) jerked

Question 2.
The felicitation programme was highly commendable.
(a) falcon
(b) congratulatory
(c) felling
(d) calliper
Answer:
(b) congratulatory

Question 3.
I dare not answer my mother when she is hysterical.
(a) avoid
(b) dauntless
(c) desire
(d) aggravate
Answer:
(b) dauntless

Choose the correct antonyms for the underlined words from the options given.

Question 4.
I had to ponder on the situation.
(a) consider
(b) contemplate
(c) ignore
(d) reflect
Answer:
(c) ignore

Question 5.
I relished the fruit and its taste.
(a) savoured
(b) enjoyed
(c) disliked
(d) candies
Answer:
(c) disliked

Question 6.
The students protested against child abuse.
(a) dissent
(b) proclaimed
(c) accepted
(d) averted
Answer:
(c) accepted

Question 7.
Choose the blended form of “picture and element”.
(a) pixel
(b) picel
(c) piclem
(d) picment
Answer:
(a) pixel

Question 8.
Choose the right definition for the given term “cartography”.
(a) One who is tenacious of a strict adherence to official formalities
(b) The ethical theory that pleasure is the highest good and proper aim of human life
(c) Prejudice, stereotyping, or discrimination on the basis of a person’s sex or gender
(d) The science of drawing maps
Answer:
(d) The science of drawing maps

Question 9.
Choose the meaning of the idiom ‘Back to the drawing board’.
{a) The person you are talking about arrives
(b) Do something to save money
(c) Do or say something exactly right
(d) Failure leads to a time to start all over
Answer:
(d) Failure leads to a time to start all over

Question 10.
Choose the meaning of the foreign word in the sentence.
Mithwin really likes singing karaoke, even though he doesn’t have an amazing voice,
(a) songs with karate steps
(b) baila
(c) country songs
(d) sing along
Answer:
(d) sing along

Question 11.
Choose the word from the options given to form a compound word with “land”.
(a) owner
(b) lord
(c) rent
(d) estate
Answer:
(b) lord

Question 12.
Form a new word by adding a suitable prefix to the root word “charge”.
(a) sur
(b) pre
(c) un
(d) out
Answer:
(a) sur

Question 13.
Choose the expanded form of “DARE”.
(a) Documentation Automatic Retrieval Equipment
(b) Documents Arrangements Retrieval Equipment
(c) Documentation Automatic Retrieval Experience
(d) Drug Abuse Resistance Education
Answer:
(d) Drug Abuse Resistance Education

Question 14.
Choose the correct sentence pattern.
He shows kindness to his patients.
(a) SVOA
(b) SVOIO
(c) SVIODO
(d) SVCA
Answer:
(b) SVOIO

Question 15.
One who is concerned with usefulness is called as …………
(a) Psychiatrist
(b) Technologist
(c) Pragmatist
(d) Editorialist
Answer:
(c) Pragmatist

Question 16.
Fill in the blank with the suitable preposition.
Ram was a thin, tall and handsome bachelor ………. a Roman nose.
(a) far
(b) with
(c) of
(d) on
Answer:
(b) with

Question 17.
Add a suitable question tag to the following statement.
Nobody could do it, ……….. ?
(a) could they
(b) should they
(c) have they
(d) ain’t they
Answer:
(a) could they

Question 18.
Substitute the underlined word with the appropriate polite alternative.
The press release said the band split up because of problems among artists.
(a) problems
(b) creative indifference
(c) creative differences
(d) fights
Answer:
(c) creative differences

Question 19.
Substitute the phrasal verb in the sentence with a single word.
Dravid was so far away, we really couldn’t make out what he was trying to say.
(a) understand
(b) deliver
(c) hear
(d) record
Answer:
(a) understand

Question 20.
Fill in the blank with a suitable relative pronoun.
What is the name of the prison ……… Nelson Mandela stayed?
(a) which
(b) when
(c) where
(d) whose
Answer:
(c) where

PART – II

II. Answer any seven of the following: [7 × 2 = 14]
(i) Read the following sets of poetic lines and answer any four of the following. [4 × 2 = 8]

Question 21.
“To unlearn all these muting things
Most of all, I want to relearn”
(a) What does the poet want to relearn?
(b) Explain ‘muting things’.
Answer:
(a) The poet has forgotten to laugh naturally. He wants to relearn to laugh because his laugh in front of the mirror shows his teeth like a snake’s bare fangs.
(b) Muting things are; superficial and unnatural behaviours like portrait smiles and heartless handshake.

Question 22.
“The birds around me hopp’d and play’d
Their thoughts I cannot measure,
But the least motion which they made
It seem’d a thrill of pleasure”
(а) What is the rhyme scheme?
(b) Name the poem and poet.
Answer:
(a) The rhyme scheme is ‘abab’.
(b) The poem is ‘Lines Written in Early Spring’ written by William Wordsworth.

Question 23.
“A life that knows no kneeling and bending
We are proud and feel so tall”
(a) What kind of a life, does the poet talk about?
(b) Pick out the alliterated words.
Answer:
(a) The poet speaks about a life where there is no necessity to stoop before others for any ‘gain’. This makes people live with self-dignity which makes them feel proud.
(b) A life that knows no kneeling and bending.

Question 24.
“I live with bread like you, feel want,
Taste grief, need friends – subjected thus,
How can you say to me, I am a king?”
(а) Mention the figure of speech employed in the last line.
(b) What is surprising about the king’s words to his loyal friends?
Answer:
(а) Interrogation
(b) The king feels he is also an ordinary mortal deceived by the jester ‘death’. He also needs to taste grief and needs the support of friends during distress. This surprises his loyal friends.

Question 25.
“His coat is dusty from neglect, his whiskers are uncombed.”
(а) How does Macavity differ from domestic/tamed cat?
(b) Identify the figure of speech.
Answer:
(a) Macavity’s coat is dusty. His whiskers are uncombed.
(b) Personification.

Question 26.
“With all my heart I do admire Athletes who sweat for fun or hire,”
(a) Pick out the rhyming words.
(b) What does the second line mean?
Answer:
(a) Admire and hire are the rhyming words.
(b) The second line means there are two categories of athletes. The first play just for pleasure. The second category is players who are hired by corporate to play the big leagues or tournaments.

(ii) Do as Directed: (Answer any three) [3 × 2 = 6]

Question 27.
Rewrite into Direct speech:
Anitha : I want to order a big pineapple cake for my brother’s birthday.
Confectioner : When is it?
Answer:
Anne told a confectioner that she wanted to order a big birthday cake for her brother. The confectioner asked when his birthday was.

Question 28.
Change into passive/active voice of the following sentence.
The Baboon tasted the sour grapes.
Answer:
The sour grapes was tasted by the Baboon.

Question 29.
Put the milk in the fridge. It will go sour. (Combine using ‘if’)
Answer:
If you don’t put the milk in the fridge, it will go sour.

Question 30.
He was ill, but he came for practice. (Change into a simple sentence)
Answer:
In spite of his illness he came for practice.

PART – III

III. Answer any seven of the following: [7 × 3 = 21]
(i) Explain any two of the following with Reference to the Context: [2 × 3 = 6]

Question 31.
………. and feel
At home, once, twice
Answer:
Reference: This line is from the poem, “Once upon a time” written by Gabriel Okara.

Context: The poet says these words while describing people’s attitude if someone visits their house.

Explanation: The semblance of cordiality will disappear if one visits for the third time. When they say “feel at home”, it applies only once or twice. In fact, they would shut the door on his face. One should not believe those words and visit their houses frequently. Familiarity breeds contempt.

Question 32.
The birds around me hopp’d and play’d,
Their thoughts I cannot measure,
Answer:
Reference : These lines are from the poem “Lines Written in Early Spring” written by William Wordsworth.

Context: The poet says these words while enjoying the beauty and peace that prevailed in the woodland. The poet said these words while trying to fathom their thoughts.

Explanation : The poet was overwhelmed with delight in the company of birds, plant kingdom and the brook. The birds were oblivious to the presence of the poet. They hopped and chirped around him in absolute bliss. He tried hard to understand the thoughts of the birds through the bird’s language. But he couldn’t succeed. He simply inferred that they were thrilled and enjoying the jocund company.

Question 33.
(I might mention Mungojerrie, I might mention Griddlebone)
Are nothing more than agents for the Cat who all the time.
Just controls their operations: the Napoleon of Crime.
Answer:
Reference: These words are from the poem “Macavity – the mystery cat” written by T.S. Eliot.

Context: The poet compares the leadership skills of Macavity to his own fictional characters.

Explanation: Those functional characters Mungojerrie and Griddlebone portrayed in T.S. Eliot’s “Old Possom’s book of Practical Cats” are not to be compared with Macavity. He is a commander in chief of criminals or Napolean of criminals. He directs all thefts and crimes in London very cleverly.

(ii) Answer any two of the following briefly: [2 × 3 = 6]

Question 34.
Why did the grandma chant the morning prayer in a sing song voice?
Answer:
Grandma started the mornings with a sing-song prayer because she wanted the author to learn the prayers by heart.

Question 35.
What should the youngsters aim in life after their graduation?
Answer:
The youngsters should aim in life after graduation for an aristocracy of achievements arising out of a democracy of opportunities. As youngsters they should aim at toning up the society, bringing light into dark alleys, sunshine into dingy places, solace into the afflicted, hope into the despondent and a new life into every one.

Question 36.
When does human memory work with less than its usual capacity?
Answer:
Human memory works with less than its usual capacity in matters like taking medicine. The author explains that human memory represents the willingness to remember certain things. It forgets what it does not wish to remember. Humans are blessed with “selective amnesia”.

(iii) Answer any three of the following briefly: [3 × 3 = 9]

Question 37.
Re-arrange the shuffled words and frame into meaningful sentences, (change to pie chart/graph or table)

1. the/Indian/English/exploited/the farmers.
2. on/camel/has/hump/its/a/big/back.
3. elephant/land animal/present/largest/is/day/the/of/the.

Answer:

1. The English exploited the Indian farmers.
2. Camel has a big hump on its back.
3. Elephant is the largest land animal of the present day.

Question 38.
Build a dialogue of minimum three exchanges between a waiter and a customer.
Answer:
Kavya : Could I get something to eat immediately?
Waiter : Yes Ma’am. We have hot idlies.
Kavya : Do you have Podi Dosa?
Waiter : Yes ma’am, we do have Podi Dosa.
Kavya : Can you give two sets of Podi Dosa with a vada please?
Waiter : Yes ma’am, it will be served in ten minutes.

Question 39.
Describe the process of polishing your shoes.
Answer:

1. Shoes are cleaned of dust with a brush.
2. A layer of polish is coated over the shoes.
3. One should wait a little till the polish soaks the leather.
4. Then shoes are brushed to shine.

Question 40.
Complete the proverbs using the words given below.
(a) Every cloud has a ……… lining, (golden, silver, white)
(b) Fortune favors the ……….. (brave, courageous, poor)
(c) Get out while the going is ………… (good, high, best)
Answer:
(a) silver
(b) brave
(c) good

PART – IV

IV. Answer the following: [7 × 5 = 35]

Question 41.
How does the speaker highlight the importance of giving back to the society?
Answer:
The graduates have drawn largely from the social chest. The largest taken from the society needs to be replenished. If graduates fail to pay back, ordinary people’s coffer will be empty. The supervisor’s education enjoins greater responsibility to society. Apart from their own individual advancement, society has got a right to expect an adequate return from the graduates. The society does not expect them to payback in cash. But they must pay back in terms of service. They should tone up the society by bringing a light into the dark alleys. They should herald sunshine into dingy places. They must give solace to the affiliated people. They should also give hope unto the despondent and thus ensure a new life unto every one.

[OR]

What are the observations of Lynd on the capacity of humans to remember and forget things?
Answer:
Robert Lynd is amazed at the efficiency of human memory. Modem man remembers telephone numbers, names of film stars, cricketers, football champions and even notorious murderers. He remarks wittily that man does not forget a single item of his clothing. No one forgets to shut the door when leaving the house. The institution of family survives in modem cities because ordinary people have extraordinary memory power. In some matters, the memory is less than perfect, causes could be psychological. We tend to forget things we don’t wish to remember.

For example, many people forget to take medicines. Medicine needs to be taken before / after meals. Robert Lynd remarks that chemists make a lot of money because people tend to forget to take medicines. It aggravates the disease and people are forced to buy more and more medicines. Most people forget to post.letters. The author himself would not trust his letters to be posted by others. The author himself never remembered to post letters entrusted to him. He had to apologise for the unposted letters kept with him for long. Likewise, the author forgets his walking sticks often.

Question 42.
“Face is the index of the mind.” Does this adage concur with the views of the poet?
Answer:
Unlike the people of the past, people in modem times “laugh only with their teeth” while their ice-block cold eyes search for something. Now, people shake hands without hearts. There is no human warmth in social relations. While they shake hands, they look for evidences to judge the financial status of a person. People say ‘feel at home’ and ‘come again’. But if a person visits a third time he is not welcomed. They all have cocktail faces ready for all occasions. Their conforming smiles are like fixed portrait smiles. They wear standard, deceitful, artificial smile for all occasions. They have faces like masks.

The poet has learnt from them how to use faces like dresses, home face, office face, street face, host face etc. Their faces, like the teeth of the elephant, show only what is accepted. The ugly side of their personality is cleverly hidden behind their deceitful smiles and polite words. So, the poet’s views do not concur with the adage “Face is the index of the mind”.

[OR]

Write a short summary of the poem “The Hollow Crown”.
Answer:
Shakespeare portrays the fleeting nature of human glory. King Richard II, on the verge of surrender to his rebellious cousin Bolingbroke, talks about the nature of temporal power and death. He talks about graves, epitaphs and worms. He explains how even monarchs leave nothing behind as their own except a small patch of land in which they are buried. The dejected king talks on various ways kings get killed. Some are slain in the battle field, some poisoned to death by their own spouses.

The kings who believed their bodies to be impregnable brass are shattered by just a pinprick. In fact, death is in supreme command which waits for the king, and only allows the king to act as if he were ruling and in control of everything. He chides his loyal friends who still believe that he is a monarch and tells them that he is an ordinary mortal just like them. He is humbled as he is powerless before the impending death.

Question 43.
Write an essay of about 150 words by developing the following hints.
C.V. Burgess-master craftsman-reveals-few names-first patient Joe-wife Emily- surgical room-Emily apprehensive-two children-Dorothea-Dentist hospital becomes play area-snobbish woman-whole play resolves-dramatic irony of patients’ guess- the dentists’ room -opening the tool cabinet-The groaning noise-vexation of Emily-Joe add to the dramatic irony-nurse moves about-feigned seriousness-the fact of the misplacement of key-which adds comic.
Answer:
C.V. Burgess is a master craftsman who reveals only a few names. The first patient Joe and his wife Emily are the most dominant characters. Joe is inside the surgical room. Emily is anxious about the husband. Among the two children the dramatist uses only the girl’s name Dorothea and the Dentist hospital becomes a play area for Dorothea and the little boy who claim the same magazine for reading. The snobbish woman who goes on showing her photo album gives us an impression if she came to see the doctor or to show her photos.

The whole play revolves around the dramatic irony of patients’ guess as to what happened inside the dentists’ room and what really happened. The pliers, hack saw and the huge hammer were taken inside the dentist’s room only for opening the tool cabinet. But the patients wondered how these would be used in dental surgery. The groaning noise from inside the dentist’s rooms and the vexation of Emily Joe add to the fear of the patients waiting. A few women patients leave the waiting room scared of subjecting themselves to the torture of having their bad teeth extracted with carpentry tools. The nurse moves about with all feigned seriousness without disclosing the fact of the misplacement of key.

[OR]

Miss Meadows, a music teacher – gets a letter – feels upset – Fiance not interested – reflects her gloom on students – changes the happy song to a sad one – Headmistress calls – delivers a telegram – Fiance agrees to wedding – Meadows happy – changes the song again to a cheerful one.
Answer:
Miss Meadow was heart-broken. The letter written by Basil had pierced her heart and she was bleeding. Her hatred and anger became a knife and she carried it with her. Her icy cold response to Science Mistress demonstrates it. She is least bothered about the tender feelings of young children who look at her face all time for a friendly nod or smile of approval.

Her favourite pupil Mary Beazley is baffled at her treatment of the chrysanthemum she had brought with so much love. The choice of the song “A lament” perfectly jells well with her worst mood. She is in fact in her heart lamenting over the loss of love, trust and future hopes. She is unnecessarily severe with young children forcing them to redo the singing which drives them to despair, pain and tears they manage to stifle.

After she receives the telegram from Basil apologizing for his insane letter, her mood changes to joy. She takes the chrysanthemum and keeps it close to her lips to conceal her blush. She goads the children to sing a song of joy congratulating someone for success. She persuades them to show warmth in their voices. Her warm and lively voice dominates the tremulous voices of the young ones. The young ones now realize that Miss Meadow who was in a wax earlier is now in her elements.

Question 44.
Write a summary or make notes of the following passage.
Moral courage is of the mind, while physical courage is of the body; but mind and body are so closely connected that I think it is impossible to separate the one sort of courage from the other. In many instances of human daring, moral courage combined with physical to a resolute endurance of physical suffering becomes added to a consciousness of duty. But while physical courage in a human being implies at the least, the moral courage implies much more.

This moral courage is the courage which braces us always to do our duty. This is the noblest form of courage and yet it is the courage most commonly required. It is the courage which everyday, almost every hour demands of us all.
Answer:
Summary
No. of words given in the original passage: 123
No. of words to be written in the summary: 123/3 = 41 ± 5

Rough Draft
Moral courage is of the mind and physical courage of the body. Human daring involves both and duty consciousness. It is impossible to separate the one sort of courage from the other. Of the two, moral courage is the noblest form of courage which is demanded of us all the time.

Fair Draft
Moral Courage Vs Physical Courage
Moral courage is of the mind and physical courage of the body. Human daring involves both and duty consciousness. Of the two, moral courage is the noblest form of courage which is demanded of us all the time.

No. of words in the summary: 38

[OR]

Note-making
Title: Moral Courage Vs Physical Courage Courage
Answer:
Courage
Mind – Moral courage
Body – Physical coinage
Human daring involves
both moral and physical courage and consciousness of duty Moral courage
inspires us to do our duty – needed all the time.

Question 45.
You are Neena. The wedding of your elder sister Meena is going to be held on the 15th May, 2020 at Hotel Lake View, Ooty. Write an informal invitation to your friend Sherrin requesting her to attend the function.
Answer:

20th April, 2020

From
Neena
2, Gandhi street
Ooty

To
Sherrin
12, Hill view Road,
Raj Nagar,
Ooty.
Dear Sherrin,

You will be pleased to know that the wedding of my elder sister Meena is going to be held on the 15th May, 2020 at Hotel Lake View, Ooty. The whole family will move there in the morning. I invite you to join us at lunch in the hotel on the 15th. The wedding ceremony will take place at 8 in the evening.
I do hope you will join us on the auspicious occasion.

Yours sincerely,
Neena
Address on the Envelope
To
Sherrin
12, Hill view Road
Raj Nagar
Ooty

[OR]

Write an essay in about 150 words on ‘Self medication is an unhealthy practice’.
Answer:
Self-medication is defined as the selection and use of medicines by individuals to treat self- diagnosed symptoms. Self-medication is thought to reduce the load on the medical services, decrease the time spent in waiting to see the physician, and save cost especially among economically deprived people. Since it is instant, there is no expense of the doctor but when they ultimately suffer from severe health issues, their medical expense increases two-fold.

Self-medication as a habit can damage one’s health irrevocably, causing disabilities and even premature death. Self-medication is okay to many of us. It’s just a crocin or some ‘safe’ antibiotic we believe we are taking as going to the doctor can be time consuming and expensive. But there are side-effects to this and very harmful ones at that. The idea of self¬medication even for small health issues can lead to complications. People tend to pop pills as they are popping candies. Medicines such as pain relief drugs, cough syrups, laxatives, antibiotics, anti-allergy medicines, vitamins and even antacids. Since these are drugs that can be bought over the counter meds, these are easier to acquire.

Popping pills may get us instant relief but what we don’t realize is that it is. not free of side-effects. This is because one drug may react differently when consumed with another drug. This can even lead to death. Hence, consulting a doctor is a must and self-medication is an unhealthy practice.

Question 46.
Read the following sentences, spot the errors and rewrite the sentences correctly.
(а) Children are fond to coconuts.
(b) After all a sculptor’s labours had came to an end.
(c) As he looking on, he was overwhelmed by the image.
(d) All the furnitures in her house is sold.
(e) Each of the student has participated in the competition.
Answer:
(a) Children are fond of coconuts.
(b) After all a sculptor’s labours had come to an end.
(c) As he looked on, he was overwhelmed by the image.
(d) All the furniture in her house is sold.
(e) Each of the students has participated in the competition.

[OR]

Fill in the blanks appropriately.
(a) When teaching my daughter how to drive, I told her if she didn’t hit the ………. in time she would ……….. the car’s side mirror, (break/ brake)
(b) ………. you like a cup of tea? (Fill in with a modal verb)
(c) We ……….. go grocery shopping, (use semi-modal)
(d) Take my umbrella ………… rain. (Use a suitable link word)
Answer:
(a) brake, break
(b) Would
(c) need to
(d) in case of

Question 47.
Identify each of the following sentences with the fields given below.
(a) General Elections take place after every five years in India.
(b) The Reserve Bank revised the interest rate.
(c) One thousand interest connections were given in Pollachi.
(d) The new serial will begin on Monday.
(e) Athletics rarely gets coverage in the Media.
(Commerce, Politics, Sports, Maths, Computer)
Answer:
(a) Politics
(b) Commerce
(c) Computer
(d) Media
(e) Sports

[OR]

Read the following passage carefully and answer the questions that follow.
It is not the pride or incivility on either side that keeps us remote from each other. It is simply our London way. People are so plentiful that they lose their identity…. In London men are as lonely as Oysters, each living in his own shell. We go out in the country to find neighbours. If the man next door took a cottage a mile away from me in the country. I should probably know all about him, his affairs, his family, his calling and his habits inside a week. This is not always so idyllic as it seems. Village life can be poisoned by neighbours until the victim pines for the solitude of a London street, where neighbours are so plentiful that you are no more conscious of their individual existence than if they were black berries on a hedge row.
Questions.

1. What keeps people in London remote from each other?
2. How are men described? Why?
3. Why do we seek country life?
4. What is the disadvantage of village life?
5. What can you say in this context about our interaction with our neighbours the life style in our country?

Answer:

1. People are so plentiful that they lose their identity.
2. Men are described as oyster shells. The being inside the oyster shell never wishes to know who lives outside.
3. We seek country life to find neighbours.
4. Village life is not idyllic. Neighbours tend to poison village life.
5. India has not deteriorated to the level of London city. We still care for the neighbours as neighbours care for us.

Students can Download Tamil Nadu 11th English Model Question Paper 3 Pdf, Tamil Nadu 11th English Model Question Papers helps you to revise the complete Tamilnadu State Board New Syllabus, helps students complete homework assignments and to score high marks in board exams.

TN State Board 11th English Model Question Paper 3

General Instructions:

1. The question paper comprises of four parts.
2. You are to attempt all the parts. An internal choice of questions is provided wherever applicable.
3. All questions of Part I, II, III and IV are to be attempted separately.
4. Question numbers 1 to 20 in Part I are Multiple Choice Questions of one mark each.
   These are to be answered by choosing the most suitable answer from the given four alternatives and writing the option code and the corresponding answer
5. Question numbers 21 to 30 in Part II are two-mark questions. These are to be answered in about one or two sentences.
6. Question numbers 31 to 40 in Part III are three-mark questions. These are to be answered in above three to five short sentences.
7. Question numbers 41 to 47 in Part IV are five-mark questions. These are to be answered in detail Draw diagrams wherever necessary.

Time: 3:00 Hours
Maximum Marks: 90

PART – I

I. Answer all the questions, [20 × 1 = 20]
Choose the correct synonyms for the underlined words from the options given.

Question 1.
I pulled myself together and handed over the card nonchalantly.
(a) indifferently
(b) carefully
(c) cautiously
(d) sentimentally
Answer:
(a) indifferently

Question 2.
The incident is clearly etched in my memory.
(a) erased
(b) melted
(c) imprinted
(d) refrained
Answer:
(c) imprinted

Question 3.
The libraries are a repository of knowledge.
{a) refractory
(b) refrigerator
(c) storeroom
(d) management
Answer:
(c) storeroom

Choose the correct antonyms for the underlined words from the options given.

Question 4.
It is important that even the mediocre are given due recognition.
(a) middling
(b) ordinary
(c) exceptional
(d) middleman
Answer:
(c) exceptional

Question 5.
I managed to solve the complex problem.
(a) intricate
(b) compound
(c) simple
(d) complicated
Answer:
(c) simple

Question 6.
It is compulsory to donate one day salary for the flood victims.
(a) obligation
(b) optional
(c) obeisance
(d) obstruction
Answer:
(b) optional

Question 7.
Choose the blended form of “hazardous and material”.
(a) hazardmat
(b) hazat
(c) hazmat
(d) mathaz
Answer:
(c) hazmat

Question 8.
Choose the right definition for the given term “etymology”.
(a) A person perceived to be either uncivilized or primitive
(b) A study about the history and origin of a word
(c) The hutnanistic study of language and literature
(d) The belief that all events in life are predetermined and inevitable
Answer:
(b) A study about the history and origin of a word

Question 9.
Choose the meaning of the idiom ‘A penny for your thoughts’.
(a) Current issues spoken by many people
(b) To worsen an unfavourable situation
(c) Everything about the case
(d) Asking what someone is thinking
Answer:
(d) Asking what someone is thinking

Question 10.
Choose the meaning of the foreign word in the sentence.
Our daughter is going to turn 5 next year, so we’ve been trying to find a good kindergarten for her.
(a) preschool
(b) children’s garden
(c) school material
(d) play school
Answer:
(b) children’s garden

Question 11.
Choose the word from the options given to form a compound word with “while”.
(a) mean
(b) teach
(c) scene
(d) weather
Answer:
(a) mean

Question 12.
Choose the word from the options given to form a compound word with “qualified”.
(a) sur
(b) dis
(c) in
(d) mis
Answer:
(b) dis

Question 13.
Choose the expanded form of “FTCL”.
(a) Fellow Tribal Colleges of Linguistics
(b) Federal Trinity College of Libya
(c) Fellowship Trinity College of London
(d) Feminine Travellers Chambers of Ladies
Answer:
(c) Fellowship Trinity College of London

Question 14.
Use for dramatic works involving the downfall or destruction of the protagonist due to character flaws, catastrophe, or reversal of fortune.
(a) Comedy
(b) Monologue
(c) Tragedy
(d) Historical Plays
Answer:
(c) Tragedy

Question 15.
A passion for writing is known as ………..
(a) Animator
(b) Graphomania
(c) Sonettomania
(d) Eulogomania
Answer:
(b) Graphomania

Question 16.
Fill in the blank with the suitable preposition.
Latha laughed till the tears ran ……… her cheeks.
(a) down
(b) with
(c) on
(d) in
Answer:
(a) down

Question 17.
Choose the correct sentence pattern.
Reading made him a complete man.
(a) SVOA
(b) SVOC
(c) SVIODO
(d) SVCA
Answer:
(b) SVOC

Question 18.
Substitute the underlined word with the appropriate polite alternative.
Excuse me, driver. My mother needs use the toilet urgently.
(a) comfort stop
(b) nature calls
(c) rest room
(d) powder room
Answer:
(a) comfort stop

Question 19.
Substitute the phrasal verb in the sentence with a single word.
I don’t know where my book is. I have to look for it.
(a) retrieve
(b) look
(c) search
(d) find
Answer:
(c) search

Question 20.
Fill in the blank with a suitable relative pronoun
They finally found the murderer, ………. was hiding in a small town.
(a) where
(b) which
(c) who
(d) that
Answer:
(c) who

PART – II

II. Answer any seven of the following: [7 × 2 = 14]
(i) Read the following sets of poetic lines and answer any four of the following. [4 × 2 = 8]

Question 21.
“And I have learned too
To laugh with only my teeth
And shake hands without my heart”
(a) Explain ‘To laugh with only my teeth’.
(b) Why is he shaking hands without heart?
Answer:
(a) Laughing with only teeth means laughing without genuine emotions of love, warmth and friendliness. It is fake.
(b) The heart is a symbol of genuine emotions. The poet recalls the time when people used to smile and shake hands with their hearts. Now, things have become different.

Question 22.
“For he’s a fiend in feline shape, a monster of depravity
(a) Identify the poem and the poet.
(b) Explain the phrase ‘monster of depravity’.
Answer:
(a) The poem is ‘Macavity – The Mystery Cat’ written by T.S. Eliot.
(b) Satan is called the master of depravity. T.S. Eliot calls Macavity, the master of depravity. He means that the cat is an embodiment of evil. He is wicked and all the time involved in doing something evil.

Question 23.
“We deem it our duty and mission in life,
To bless and praise the deserving ones;
Never shall we fail in what we commit,
Shall nourish the ones that nourish the world.”
(a) What is the poet’s mission in life?
(b) Explain the last line.
Answer:
(a) The poet’s mission is to identify deserving people with natural talents and appreciate them.
(b) The poet claims that simple people like farmers, teachers and other noble professionals nourish those who nourish the world.

Question 24.
“As if this flesh which walls about our life
Were brass impregnable and, humour’d thus”
(а) What does the king realize?
(b) Explain the phrase ‘brass impregnable’.
Answer:
(a) The king realises that his mortal body also will come to an end like others.
(b) ‘Brass impregnable’ means someone that is unconquerable.

Question 25.
“I heard a thousand blended notes While in a grove I sate reclined,”
(a) What do you mean by‘blended notes’?
(b) What was the poet doing there?
Answer:
(a) The blended notes mean the combined music of birds which cohabit in the grove.
(b) The poet was relaxed and was listening to the music of the birds.

Question 26.
“My limp and bashful spirit feeds On other people’s heroic deeds”
(a) What does the poet say about his own temperament?
(b) How does the poet feed his love for games?
Answer:
(a) The poet agrees that he is weak, shy and reluctant.
(b) He derives vicarious pleasure watching others play heroically on the sports field.

(ii) Do as Directed: (Answer any three) [3 x 2 = 6]

Question 27.
Report the following dialogue:
Shilo : How are you Cathy? Please check mail regarding your travel arrangements to Muscat.
Cathy : Could you please send it again since I haven’t received any mail from you.
Answer:
Shilo asked Cathy how she was and to check mail regarding her travel arrangements to Muscat. Cathy requested Shilo to send it again as she hasn’t received any mail from him.

Question 28.
Change into active voice of the following sentence.
The work can be done by Shanthini.
Answer:
Shanthini can do the work.

Question 29.
Rewrite the sentence making an inversion in the conditional clause.
If we’d bought that property, we would have been rich by now.
Answer:
Had we bought that property, we would have been rich by now.

Question 30.
The firefighters made several attempts. They could not save the drowning cub. (Change into a simple sentence)
Answer:
In spite of making several attempts, the firefighters could not save the drowning cub.

PART – III

III. Answer any seven of the following: [7 × 3 = 21]
(i) Explain any two of the following with Reference to the Context: [2 × 3 = 6]

Question 31.
They do not ever in their dealings
Consider one another’s feelings…
Answer:
Reference: The poet Ogden Nash says these words in the poem “Confession of a Bom Spectator’.

Context: The poet says these words, while highlighting the callous indifference of players to the pain and injuries of fellow players.

Explanation: Every player considers the player in the opposite team as a deadly rival. He looks for an opportunity. We do find hockey players hitting good players on the ankle with the stick to prevent them from playing great shots. Bowlers try to hit the body of batsman with the ball. They don’t seem to notice cracking wrists and snapping knees as their focus is only on victory and glory. In short, the players do not have feelings for the fellow players.

Question 32.
The birds around me hopp’d and play ’d,
Their thoughts I cannot measure.
Answer:
Reference: These lines are from the poem “Lines’Written in Early Spring” written by William Wordsworth.

Context: The poet was quite impressed with the beauty and peace that prevailed in the woodland. The birds were oblivious to the presence of the poet. They hopped and chirped around him in absolute bliss. The poet said these words while trying to fathom their thoughts.

Explanation: The poet was overwhelmed with delight in the company of birds, plant kingdom and the brook. He tried hard to understand the thoughts of the birds through the bird’s language. But he couldn’t succeed. He simply inferred that they were thrilled and enjoying the jocund company.

Question 33.
He’s the bafflement of Scotland Yard, the Flying Squad’s despair:
Answer:
Reference: These words are from the poem, “ Macavity – the mystery cat, written by T.S., Eliot.

Context: The poet says these words while describing the criminal activities and how he eludes the detection by Scotland Yard Police.

Explanation: Scotland Yard Police is known world over for quick disposal of criminal cases. But Macavity is such a criminal that the Scotland Yard policemen are unable to produce evidence to arrest him. So, they are baffled. The flying squad is unable to pursue him soon after the crime is committed. So, they are desperate to nab him.

(ii) Answer any two of the following briefly: {2 × 3 = 6]

Question 34.
What does the author mean when he says the letter in his pocket leads an unadventurous life?
Answer:
The poet forgets the letters kept in his pocket. Whenever the friend enquires about the unposted letters, it embarrasses him. then he is forced to produce the evidence of his guilt (i.e.,) the unposted letters. This awkward humiliation is said to be unadventurous.

Question 35.
What is a tight corner? What happens when one finds oneself in a tight corner?
Answer:
Tight comer is a difficult situation. When one finds oneself in a tight comer, one worries and thinks seriously about the ways of getting out of it.

Question 36.
Why did the author’s concern over tobacco shift to his finger?
Answer:
When the author saw the racing tobacco box disgorging its content, he worried about the need to buy expensive tobacco in England. But when he saw his own bleeding finger that he had gashed while forcefully opening the jammed zip, he shifted his cry to his finger.

(iii) Answer any three of the following: [3 × 3 = 9]

Question 37.
Study the pie-chart and answer the questions that follow:
The factors which affect health are given percentage-wise in the pie-chart.

Questions

1. What percent of diseases are caused due to pollution?
2. Fifty one percent of illnesses are caused by what factors?
3. What is the least percent of health affected by?

Answer:

1. Nineteen percent of diseases are caused due to pollution.
2. Fifty one percent of the causes of illness is jointly shared by lifestyle, smoking, obesity, stress and diet.
3. Lack of medical facilities.

Question 38.
Build a dialogue of minimum three exchanges between bank manager and a student who wants to open a bank account.
Answer:
Vanin : Sir, I want to open a savings account.
Bank Manager : Have you brought your aadhar card and two copies of photograph?
Varun : Yes, sir.
Bank Manager : Fill in this application and the challan and pay the initial amount in the 3rd counter.
Varun : Sir, the pass book.
Bank Manager : You can collect it tomorrow evening.
Varun : Thank you sir.

Question 39.
Describe the process of pitching a tent.
Answer:
Select a location free of debris and an area that is as level as possible for your campsite.
Lay down your footprint or ground cloth.
Position the tent over the footprint with the doors facing away from the wind for the best ventilation.
Lay out the poles and assemble them.
Insert the tent poles and secure it to take up the tension in the poles.
Pull the tent upright.

Question 40.
Complete the proverbs choosing the suitable words given in brackets.

1. Don’t blow your own ……….. (horn, trumpet, whistle)
2. Early ………. catches the worm, (man, hen, bird)
3. Empty bags cannot ………. upright, (stand, sit, lie)

Answer:

1. trumpet
2. bird
3. stand

PART – IV

IV. Answer the following: [7 × 5 = 35]

Question 41.
Why was Mary Kom named the “Queen of Boxing”?
Answer:
After Mary Korn’s first silver medal in Pennsylvania in 2001, there was no looking back. Her medal haul continued even after her marriage putting an end to the speculation of family and friends that her marriage may slow down her career progression. She retained the world title in the third World Women’s Boxing Championship at Podolsk in Russia in 2005. She won her fourth gold also in 2006. She had won several golds for India from 2001 to 2004. She had won all the Senior Women’s Boxing Championships, Second Women’s Championship (2002), Second Asian Women’s Boxing Championship at Hisar (2003) and the Witch Cup Boxing Championship at Paes, Hungary.

There were a number of other International World Championships in Taiwan, Vietnam, Denmark and so on. But it was retaining her World title in 2006 by defeating Steluta Duta of Romania which was considered as Mary Korn’s greatest achievement in life. With this hat-trick of World Championship wins, the media has rightly christened her, “Queen of Boxing”.

[OR]

Bill Bryson “ached to be suave”. Was he, successful in his mission? If not what are the reasons.
Answer:
Bill Bryson expresses his genuine desire to be “suave”. He would love just once in his life time to rise from the dinner table as if he had not experienced an “extremely localized seismic event, get into a car without leaving 14 inch coat outride, wear light-coloured trousers without ever discovering at the end of the day that he had at various times and places sat on chewing gum, ice-cream cough syrup and motor oil. No, Bill Bryson was not successful in his mission.

Twice he spilled his drinks on a sweet nun who happened to sit next to him. He tried to show off his wisdom to another attractive lady. As usual, he was sucking his pep. His shirt, teeth and gum carried the unscrubbable navy blue stain for many days. He always did “liquid mischief’. His clumsy behaviour in the aeroplane made the saintly nun use abusive language. To avoid unsuave ways, he gave up air-travel with his family members. His wife and children supported him yet failed to refine his manners.

Question 42.
How is it true that Macavity is indeed a mystery cat?
Answer:
Macavity is an elusive master criminal who leaves no evidence after he commits a crime. He baffles Scotland Yard police and the flying squad as he disappears before their arrival to the scene of crime. He is called a “Hidden paw“ because even Scotland Yard is unable to arrest him after he commits any crime. He does not leave his foot prints in the spot of crime. He defies law of gravity and his powers of levitation make the fakir stare with wonder.

Other cats are lazy and just stay in the kitchen and take the food offered by their master. But Macavity is agile and defies law of the land and laws of gravity. Despite doing all wicked things, he pretends to be innocent. So, the poet claims one can never come across such a cat of “Deceitfulness and suavity”. When he appears to be half-asleep with his half-closed eyes, he would be wide-awake. He is an enigma to everyone. Macavity is indeed a mystery.

[OR]

Trace the confessions of a born Spectator as listed out by Ogden Nash.
Answer:
This poem is about a bom spectator who confesses about his views on Sports and sportsmen. He says that they injure each other as they prance and feel happy on others heroic deeds. His limp and bashful spirit feeds on the heroism of other players. He has seen zealous athletes playing so rough that they never consider the feelings of fellow players. He watches with a palpitating heart when ‘A’ runs ninety yards to bag a medal. He watches with obvious alarm when ‘B’ knocks another boxer down cracking his vertebrae and spines.

They.are insensitive to the cracking wrist and snapping knees of fellow players. When his ego and prudence clashed, ego told him to seek glory in sports, but his prudence always ignored it. Thus common sense prevailed, he remained a cheerful life-time fan of successful athletes. He was contented as a spectator of all kinds of games and sports and world famous athletes. The crazy desire for championship titles and the light of fame on them leads them to ignore swollen eyes, snapping of knee joints or cracking of wrists.

Question 43.
Write a paragraph (150 words) by developing the following hints
“After Twenty Years,” – time -10 o’clock at night – depeopled the streets – only two men – on street – that night – policeman approaches – lurking man – light from his match – shows a pale face – keen eyes, a scar in eyebrow – a scarf pin – diamond – expensive watch – all hints as to the man’s past.
Answer:
The short story “After Twenty Years” takes place around 10 p.m. along a dark, windy New York City business avenue, mostly within the darkened doorway of a closed hardware store. This particular location had been a restaurant until five years ago. The plot begins with a policeman “on the beat” who discovers a man standing in the dark doorway. The man then proceeds to explain why he is there. He and his best friend, Jimmy Wells had parted exactly twenty years ago to make their fortunes and had promised to meet at that spot “After Twenty Years”. He had gone west and gotten rich and was sure his friend, Jimmy would meet him if he were alive. They talked a while and the policeman carried on. The man from the west wonders if his friend will come.

The drama increases in anticipation of the rendezvous. Twenty minutes later, another man, whom we assume is his long lost friend, greets him warmly and they walk arm in arm discussing careers until they come to a well-lit comer near a drug store. The man from the west gets a good look at his companion and discovers that he is not his friend, Jimmy. We are treated to several surprises for the man from the west is under arrest and secondly he is actually ‘Silky Bob’, a gangster from Chicago and finally the stranger is a plainclothes policeman. However, it seems that these three surprises are not enough. We get the “real” surprise when Jimmy Wells, the original policeman didn’t have the heart to arrest Bob, because he was his friend.

[OR]

Philip – travels – train – Brill Manor – meets Bertie – second son – left purse – four quids – needs money – requests Philip to lend him – two pounds -did not help – true . son – mistaken for a fraud.
Answer:
The young man who entered the coach gave out a smothered curse, he was engaged in searching something elusive angrily and uselessly. From time to time, he dug a six penny bit out of a waist coat pocket and stared at it sadly, then resumed his search. He voluntarily broke the silence. He exclaimed that Mr. Sletherby was going to Bill Manor. He introduced himself as Bertie, the younger son of Mrs. Saltpen-Jago. He admitted that he was away for about six months and had not seen his own mother.

Making use of the lucky coincidence that he was going to Brill Manor, he asked for a loan of three pounds as he had lost his sovereign purse and was desperately in need of help. He promised to meet him on the subsequent Monday. There is a dramatic irony when the son himself gives a different version of his mom’s appearance. This influences the decision of Mr. Sletherby in refusing to lend Bertie a loan of three pounds and mistaking the true son Bertie to be a fraud.

Question 44.
Write a summary or make notes of the following passage.
The word procrastination comes from two Latin terms meaning to ‘put forward until tomorrow’. Standard dictionary definitions include the idea of postponement or delay. Steel, a psychologist who has reviewed hundreds of studies on the subject, states that to procrastinate is “to voluntarily delay an intended course of action despite expecting to be worse-off for the delay”.

Another expert, Dr. Joseph R. Ferrari, distinguishes between people who tend to put things off and “chronic” or “real” procrastinators for whom this is their life and who might even need therapy. Ferrari categorizes procrastinators into three types: (a) stimulation types that get a thrill from beating a deadline, (b) avoiders put off doing things that might make others think badly of them, and (c) decisional procrastinators who postpone making a decision until they have enough information to avoid making a wrong choice.

Chronic procrastinators tend to have low self-esteem and focus on the past more than the future. The Discounted Expectancy Theory illustrates with a student like Sam who puts off writing a paper. When the deadline is far off, the rewards for socializing now are greater than those for finishing a task not due until later. As the deadline looms, the rewards or consequences for finishing the paper becomes more important.

Tice and Baumeister found that procrastinators on the average got lower grades and had higher levels of stress and illness. Chu and Choi however, say that not all procrastinators are lazy and undisciplined. “Passive procrastinators” are more stressed and so less efficient. “Active procrastinators prefer to work under pressure” and “if something unexpectedly comes up, they will knowingly switch gears and engage in new tasks they perceive as more urgent.”
Answer:
Summary
No. of words given in the original passage: 280
No. of words to be written in the summary: 280/3 = 93 ± 5

Rough Draft
procrastination is a Latin word. Hundreds of studies reviewed by Steel, a psychologist states that to procrasinate is “to voluntarily delay an intended course of action despite expecting to be worse-off for the delay”. Another expert Dr. Joseph R. Ferrari, distinguishes between “chronic” or “real” procrastinators into three types: stimulation types avoiders and decisional procrastinators. Chronic procrastinators self-esteem.

Tice and Baumeister found that procrastinators get lower grades and have higher levels of stress. Chu and Choi, say that “Passive procrastinators” are more stressed and so less efficient. “Active procrastinators prefer to work under pressure” and “if something unexpectedly comes up, they will knowingly switch gears and engage in new tasks they perceive as more urgent.

Fair Draft
Procrastination
Procrastination is a Latin word. Hundreds of studies reviewed by Steel, a psychologist states that to procrastinate is “to voluntarily delay an intended course of action despite expecting to be worse-off for the delay”. Another expert, Dr. Joseph R. Ferrari, distinguishes between “chronic” or “real” procrastinators. Ferrari categorizes procrastinators into three types: stimulation types avoiders and decisional procrastinators. Chronic procrastinators have low self-esteem.

Tice and Baumeister found that procrastinators get lower grades and are stressed. Chu and Choi, say that “Passive procrastinators” are more stressed and less efficient. “Active procrastinators” work under pressure and if something more urgent comes up they change their focus.

No. of words in the summary: 104

[OR]

Note-making
Title: Procrastination
Answer:
1. Intro A proctn
Origin – Latin
Meaning – Put fwd till tomorrow – Idea A postponement or delay Steel (psychologist) – voluntary delay – despite expecting to be worse-off

2. Categorⁿ
a. Dr. Joseph R. Ferrari
Stimln types – thrill 4m beating a deadline
Avoiders – avoid things // make others think badly A them
Decisional – postpone making a decsn (until enough information)
Real procs – way A life (might need therapy)
Chronic procs:
Low self esteem
Focus on past

b. Tice and Baumeister
Procs got lower grades
Higher levels A stress and illness

c. Chu and Choi
Passive procs – stressed, less efficient
Active procs – prefer to work under pressure, knowingly engage in new tasks

Conclusion: The word procrastination comes from two Latin terms meaning to ‘put forward until tomorrow’.
Abbreviations: Intro – Introduction; A – of; Proctn – procrastination; Fwd – forward; Stimln – stimulation; Categorⁿ – categorization; 4m – from; // – that; decsn – decision; procs – procrastinators

Question 45.
Write a letter to the Editor of a famous daily, Dindigul about the incidents of violence taking place with the aged living alone at home, drawing the attention of authorities towards the problem.
Answer:

22nd July 2020

From
Vinitha
Railway Colony
Dindigul

To
The Editor
Daily Thanthi
Dindigul
Respected Sir,
Sub: Violence against the aged living alone at home.
I wish to draw your attention towards the security of the aged people living alone at home in Dindigul. Almost every day we find the newspapers full of such incidents. The miscreants rob the people and then murder them. Many times the servants of the house are found involved in these incidents. The aged are the gullible people and are easily made target.

I hope after publishing this letter in your esteemed newspaper, the police will take some necessaiy actions for their safety.
Thanking you

Yours faithfully,
Vinitha
Address on the Envelope
To
The Editor
Indian Express
Chennai

[OR]

Write an essay in about 150 words on ‘Where there is a will, there is a way.’
Answer:
Where there is a will, there is a way
Where there is a will, there is a way is an old saying in English which teaches us about the most significant subject of getting success in life. Reaching a nice target becomes our maxim. However achieving a target needs strong determination and commitment. People without having will power never achieve the victory and they curse their destiny. This common saying simply means that if the person is strong-minded enough to get something done, he/ she always will find a way to do that. Fortitude is necessary to get completion in the task as it helps a person to fight with all difficulties and get success.

Without grit and will power, we generally tend to give up very easily in the initial stages as we become desperate facing small teething issues. To learn or achieve something in life, will power acts as a channel and enhances the speed of action. It needs a firm and incessant exercise to deeply learn things. We can pass the exam by reading the lessons just a night before the exam. However, we cannot be ranked first in the class, district or state without hard work for the entire year. One needs to be systematic, meticulous and focused to with a strong will power to pave way for success. So, it is good to have determination even to the smallest tasks in life and never yield to petty things easily.

Question 46.
Read the following sentences, spot the errors and rewrite the sentences correctly.
(a) He was tall and thin and has giant features.
(b) The stories he read are all about adventure.
(c) In general mass media means various ways communication.
(d) This is due the various advancements and achievements in the field of communication.
(e) Mohan Das Karamchand Gandhi go to England for higher studies at the age of 19.
Answer:
(a) He was tall and thin and had giant features.
(b) The stories he read were all about adventure.
(c) In general mass media means various ways of communication.
(d) This is due to the various advancements and achievements in the field of communication.
(e) Mohan Das Karamchand Gandhi went to England for higher studies at the age of 19.

[OR]

Fill in the blanks appropriately.
(a) I can ………. the bell from ……… (hear/here)
(b) I ………. swim quite well when I was younger. (Fill in with a modal verb)
(c) She ……….. spend more time for practice, (use semi-modal)
(d) England lost their test match against India ………… over confidence and less preparation. (Use a suitable link word)
Answer:
(a) hear, here
(b) could
(c) ought to
(d) due to

Question 47.
Identify each of the following sentences with the fields given below.
(a) As in January 2005, the rate of inflation came down to 3%.
(b) At the international level, global warming Has increased the anxiety of many nations.
(c) A new rocket launching station is commissioned in Andhra Pradesh.
(d) Your monitor is not working. Get it repaired.
(e) Mr. Venkatraghavan is one of the best umpires in the world.
(Science, Computer, Sports, Commerce, Environment)
Answer:
(a) Commerce
(b) Environriient
(c) Science
(d) Computer
(e) Sports

[OR]

Read the following passage carefully and answer the questions that follow.

Today we don’t think of a cartoon as being associated with great art, but at one time it was. During the period of Italian Renaissance, the term ‘cartoon’ meant the first sketch in actual size of a large work of art, such as a mural (wall painting). When newspapers and magazines began to use drawings to illustrate news and editorial opinion and to provide amusement, these drawings came to be known as cartoons. In the days before the newspaper, artists like Hogarth, Daumier and Rawlandson made a series of drawings on a single theme. Sometimes such a series of drawings pictured and adventures of a single character. They were the ancestors of present-day cartoons and comic strips.

In the nineteen and early twentieth centuries, there were a number of magazines which specialised in cartoons. In Paris there was one called ‘Charivari’ and in London there was the famous ‘Punch’. Nowadays movies based on cartoons characters are also made. Movies featuring Tom and Jerry, Dennis the Menace, Tarzen, Mickey Mouse and Donald Duck are very popular with children.
Questions.

1. Identify the purposes for which cartoons were used in newspapers.
2. In what sense did the Italians use the term ‘cartoon’ during the Renaissance period?
3. Who were the ancestors of present-day cartoons and comic strips?
4. Name the two magazines mentioned in the passage which specialised in cartoons.
5. Name the famous cartoon character you are familiar with.

Answer:

1. Cartoons were associated with great art. It is a large work of art.
2. During the Renaissance period the term ‘cartoon’ was used to mean first sketch of a large work of art.
3. Artists like Hogarth, Daumier and Rawlandson were the ancestors of the present-day cartoon and comic strips.
4. Charivari and punch were the two magazines which specialised in cartoons.
5. Mickey mouse and Donald Duck are the famous cartoon characters I am familiar with.

Students can Download Tamil Nadu 11th English Model Question Paper 1 Pdf, Tamil Nadu 11th English Model Question Papers helps you to revise the complete Tamilnadu State Board New Syllabus, helps students complete homework assignments and to score high marks in board exams.

TN State Board 11th English Model Question Paper 1

General Instructions:

1. The question paper comprises of four parts.
2. You are to attempt all the parts. An internal choice of questions is provided wherever applicable.
3. All questions of Part I, II, III and IV are to be attempted separately.
4. Question numbers 1 to 20 in Part I are Multiple Choice Questions of one mark each.
   These are to be answered by choosing the most suitable answer from the given four alternatives and writing the option code and the corresponding answer
5. Question numbers 21 to 30 in Part II are two-mark questions. These are to be answered in about one or two sentences.
6. Question numbers 31 to 40 in Part III are three-mark questions. These are to be answered in above three to five short sentences.
7. Question numbers 41 to 47 in Part IV are five-mark questions. These are to be answered in detail Draw diagrams wherever necessary.

Time: 3:00 Hours
Maximum Marks: 90

PART – I

I. Answer all the questions. [20 × 1 = 20]
Choose the correct synonym for the underlined words from the options given.

Question 1.
A peaceful pallor spread on his face.
(a) paleness
(b) rosiness
(c) ruddy
(d) rejuvenation
Answer:
(a) paleness

Question 2.
It was indeed a sensational bid.
(a) astounded
(b) ordinary
(c) sensitive
(d) exciting
Answer:
(a) astounded

Question 3.
I had a sumptuous meal to sate my hunger.
(a) sadden
(b) suppress
(c) satisfy
(d) struggle
Answer:
(c) satisfy

Choose the correct antonym for the underlined words from the options given.

Question 4.
The vessels dropped and scattered all over.
(a) speckled
(b) sprinkled
(c) gathered
(d) grew
Answer:
(c) gathered

Question 5.
There a curious smothering noise from my friend.
(a) suppressed
(b) expressed
(c) smoothened
(d) suffocated
Answer:
(b) expressed

Question 6.
Her face was wrinkled and weird.
(a) smooth
(b) creased
(c) lined
(d) crippled
Answer:
(a) smooth

Question 7.
Choose the clipped form of “percolate”.
(a) perk
(b) per
(c) perc
(d) colate
Answer:
(a) perk

Question 8.
Choose the right definition for the given term “plagiarist”.
(a) A student of bees
(b) One who accumulates; one who collects
(c) One who purloins the words, writings, or ideas of another, and passes them off as his own; a literary thief
(d) One who is tenacious of a strict adherence to official formalities
Answer:
(c) One who purloins the words, writings, or ideas of another, and passes them off as his own; a literary thief

Question 9.
Choose the meaning of the idiom ‘Beat around the bush’.
(a) Indirectly talking about an issue
(b) Do or say something exactly right
(c) To go to bed
(d) Without any hesitation; instantly
Answer:
(a) Indirectly talking about an issue

Question 10.
Choose the meaning of the foreign word in the sentence.
I’d like to learn taekwondo though it might not be the best option for me.
(a) Japanese language
(b) Chinese preparation
(c) Floor dancing
(d) Kick fist martial art
Answer:
(d) Kick fist martial art

Question 11.
Choose the word from the options given to form a compound word with “goat”.
(a) male
(b) female
(c) scape
(d) major
Answer:
(c) scape

Question 12.
Form a new word by adding a suitable suffix to the root word, “hero”?
(a) ity
(b) ism
(c) ness
(d) ish
Answer:
(b) ism

Question 13.
Choose the expanded form of “NSC”.
(a) National Savings Certificate
(b) National Service Certificate
(c) National Savings Career
(d) National Service Certificate
Answer:
(a) National Savings Certificate

Question 14.
The correct syllabification of the word “psychology” is…………..
(a) psych-ol-ogy
(b) psy-chol-ogy
(c) ps-ycho-logy
(d) psy-chol-o-gy
Answer:
(d) psy-chol-o-gy

Question 15.
A craze for establishing banks is known as …………..
(a) Etymology
(b) Stampomania
(c) Eulogomania
(d) bancomania
Answer:
(d) bancomania

Question 16.
Fill in the blank with the suitable preposition.
Ramesh went……….. Tom’s place to settle the bills.
(a) to
(b) on
(c) in
(d) from
Answer:
(a) to

Question 17.
Add a suitable question tag to the following statement.
He never fails in his duty,………..?
(a) isn’t he
(b) won’t-he
(c) will he
(d) does he
Answer:
(d) does he

Question 18.
Substitute the underlined word with the appropriate polite alternative.
Sagar’s cat had to be killed because it had cancer.
(a) put in
(b) put down
(c) put up
(d) put out
Answer:
(b) put down

Question 19.
Substitute the phrasal verb in the sentence with a single word.
However hard she tried, she could not figure out the meaning of the proverb.
(a) appreciate
(b) condemn
(c) understand
(d) faint
Answer:
(c) understand

Question 20.
Fill in the blank with a suitable relative pronoun
The children ……… shouted in the street are not from our school.
(a) which
(b) whose
(c) who
(d) that
Answer:
(c) who

PART – II

II. Answer any seven of the following: [7 × 2 = 14]
(i) Read the following sets of poetic lines and answer any four of the following. [4 × 2 = 8]

Question 21.
“I have learned to wear many faces like dresses”
(а) State the figure of speech in the above line.
(b) Who does the term ‘I’ refer to?
Answer:
(a) Simile
(b) 1 refers to the poet, Gabriel Okara.

Question 22.
“ When swollen eye meets gnarled fist
When snaps the knee, and cracks the wrist”
(a) What is the figure of speech employed in the second line.
(b) Why are the eyes swollen?
Answer:
(a) Onomatopoeia
(b) The eyes are swollen as they were injured by the opponent.

Question 23.
“Or the greenhouse glass is broken, and the trellis past repair
Ay, there’s the wonder of the thing! Macavity’s not there!”
(a) What is a greenhouse and a trellis?
(b) What is a wonder after the greenhouse glass is broken?
Answer:
(a) Greenhouse is a glass building in which plants that need protection from cold weather are grown. Trellis is a framework of light wooden or metal bars used as a support for fruit trees or creeper.
(b) Macavity is to be found nowhere when one finds out that the greenhouse glass is broken.

Question 24.
“Let’s talk of graves, of worms, and epitaphs,
Make dust our paper, and with rainy eyes
Write sorrow on the bosom of the earth.”
(a) What do you understand by rainy eyes?
(b) Identify the figure of speech in the first line.
Answer:
(a) Eyes shedding tears is said to be rainy eyes.
(b) Metaphor

Question 25.
“And I must think, do all I can,
That there was pleasure there…”
(a) What did the poet notice about the twigs?
(b) What was the poet’s thought about then?
Answer:
(a) The budding twigs spread out their fan to catch the breezy air.
(b) The poet thought the twigs were experiencing the j oy of their contact with the breezy air.

Question 26.
“The height you reach is not that we care;”
(a) How different is the poet’s perception of success?
(b) How does the poet use the word ‘height’?
Answer:
(a) Those who reach great heights in terms of scholarship, wealth and positions are not deemed great. Those who have competence and merit alone are respected.
(b) In terms of mountain climbing, climbing Everest is said to be the highest achievement.
But even scaling a small hillock is an achievement. Every human effort to succeed needs to be appreciated.

(ii) Do as directed (any three) [3 × 2 = 6]

Question 27.
Rewrite the following dialogue in reported form.
Kiran : Will you exchange the defective torch I had bought from you yesterday?
Shopkeeper : Do you have the receipt with you?
Answer:
Kiran asked the shopkeeper if he would exchange the defective torch he had bought from him the day before. The shopkeeper enquired if Kiran had the receipt with him.

Question 28.
Rewrite the following sentence in its passive form.
She had already cooked the food.
Answer:
The food had already been cooked by her.

Question 29.
Convert the following complex sentence to a compound sentence.
I called for Arjun who came at once.
Answer:
I called for Aijun and he came at once.

Question 30.
Hurry up. You will miss the flight. (Combine using ‘Unless’)
Answer:
Unless you hurry up, you will miss the flight.

PART – III

III. Answer any seven of the following: [7 × 3 = 21]
(i) Explain any two of the following with Reference to the Context: [2 × 3 = 6]

Question 31.
“Have I not reason to lament What Man has made of Man?”
Answer:
Reference: These lines are from the poem “Lines Written in Early Spring” written by William Wordsworth.

Context: Amidst happy nature, William Wordsworth couldn’t help feeling sad. At that occasion, he said these words.

Explanation: The mixed feelings of happiness and sadness is well brought out in these lines. He was inspired by a small woodland grove, a landscape of beauty. He came upon this spot when walking near Alford village. While sensing the blissful mood and happiness of birds, plants, creepers and the murmuring brook, he juxtaposed what humans did to their kind in Napoleonic wars.

Question 32.
“I am just glad as glad can he
That I am not them, that they are not me. ”
Answer:
Reference: The poet Ogden Nash says these words in the poem “Confession of a Bom Spectator’.

Context: While discussing about the athletes he admires, the poet says these words.

Explanation: The poet was a bom spectator. Right from his boyhood, he had seen boys aspire for sports championships. He had wondered at their ability to specialize in horse riding, to play hockey or basketball. He had seen young ones trying to play center in the football or be a tackle or offender in a game like kabaddi. But he has been absolutely glad that he is not them and they are not him.

Question 33.
We deem it our duty and mission in life,
To bless and praise the deserving ones
Answer:
Reference: These lines are from the poem “Everest is not the Only Peak” written by Kulothungan.

Context: The poet says these words highlighting the virtues of unsung heroes.

Explanation: The unsung heroes adhere to their ethical principles in life. Even if they have not reached great heights. They consider it their duty and mission to identify deserving people with natural talents and appreciate them.

(ii) Answer any two of the following questions briefly: [2 × 3 = 6]

Question 34.
Why was the author left with his grandmother in the village?
Answer:
The author was left with his grandmother in the village because his parents had to go to the city for work.

Question 35.
What difficulty did Mary Kom experience while eating Chinese preparation?
Answer:
Once Mary Kom and her team mates were given chopsticks to eat their food in China. Other friends, asked for spoons and managed. But Mary Kom ended up using both her hands to hold the chopsticks to pick up the food and push it into her mouth. She managed the complex work and satisfied her hunger.

Question 36.
What were the contents of Bryson’s bag?
Answer:
The contents of the bag were frequent flyer card, newspaper cuttings, loose papers, tobacco pipe, magazines, passport, English money and film.

(iii) Answer any three of the following: [3 × 3 = 9]

Question 37.
Re-arrange the shuffled words and frame into meaningful sentences, (change to pie chart/graph or table)

1. pillars/there/human life/man/of/woman/and/are/two
2. uppermost/soil layer/is/earth/the/of/the
3. it/palnts/which/supports/food/provide/all/living things/to/planet/on/this

Answer:

1. There are two pillars of human life – man and woman.
2. Soil is the uppermost layer of the earth.
3. It supports plants which provide food to all living things on this planet.

Question 38.
Describe the process of pitching a tent.
Answer:

1. Select a location free of debris and an area that is as level as possible for your camp site. Lay down your footprint or ground cloth.
2. Position the tent over the footprint with the doors facing away from the wind for the best ventilation.
3. Lay out the poles and assemble them.
4. Insert the tent poles and secure it to take up the tension in the poles.
5. Pull the tent upright.

Question 39.
Expand the following news headlines:

1. Scientists Develop Synthetic Cornea.
2. World Leaders Meet at Geneva.
3. ATMs Without Security Guards to Close.

Answer:

1. A newly developed implant made of plastic may soon offer patients the chance to see again as Scientists from Germany have developed synthetic corneas.
2. German Chancellor Angela Merkel and US President Donald Trump will converge upon the snowy Swiss town of Davos this week for the World Economic Forum’s Annual Meeting.
3. The Prime Minister Shri Narendra Modi has requested all ATM’S without proper security to be closed down.

Question 40.
Complete the proverbs choosing the suitable words given in brackets.

1. A stitch in ………. saves nine, (tear, time, line)
2. A thing begun is ……….. done, (half, full, not)
3. Beauty is in the ………… of the beholder, (imagination, mind, eye)

Answer:

1. time
2. half
3. eye

PART – IV

IV. Answer the following: [7 × 5 = 35]

Question 41.
Describe Mary Kom’s personal experiences during her first International Championship match from the time of selection to winning the medal.
Answer:
Mary Kom flew to Pennsylvania, USA to compete under 48 kg World Women’s Boxing Championship in 2001. On landing, she rushed to the sports arena and weighed. She was lucky as she could rest enough to face her opponent the following day. As soon as she won her opponent in the first match, she gained enormous confidence. Her fear of facing new opponents in the ring vanished completely. While her team-mates went on losing one after another, she went on to reach the finals.

She was even hopeful of winning gold. She had defeated Nadia Hokmi of Poland by RSC. She also defeated Jamie Behai of Canada by 21-9. The greatest disadvantage just before finals was that she lost her appetite. She was not accustomed to American food. However hard she tried, she could not eat. She lost her weight. She was just 46 kg before the finals. This cost her, her long cherished dream of gold medal and she lost to Hula Sahin of Turkey 13-5. She won her silver but was very sad. But the biggest thing she took home from Pennsylvania was not the medal but the conviction that she could take on any boxer in the world.

[OR]

Trace the thoughts that went on in the mind of the narrator when picture after picture was put up and sold at the auction.
Answer:
The author was enthusiastically participating in the bid at Christie with very little money on him. He sailed smooth for a long time raising the stakes on many paintings and carefully staying behind other competitors. It was fun watching till he got trapped in a net, set by his own tongue. When one particular painting was offered for 4000 guineas, the bidders maintained an uncomfortable silence when the author heard himself foolishly saying “and fifty”. The auctioneer banged the hammer finalizing the deal in the narrator’s favour.

It was then the narrator realized with alarm that he had no money on him. Suddenly he lost interest in fun- bidding. He started thinking fast for a way out of the tight comer he had created for himself. Many small and big paintings were offered and sold out fast. The Barbizon pictures were selling fast like hot cakes for 2000 to 3000 guineas. The author was running over the names of friends, relatives and even money lenders who might bail him out of the tight comer. He even speculated on the possibility of confessing his poverty to the staff of Christie and request them to put up the picture again for sale. Such a genuine mistake could have been rectified at the early stages of auction.

As he had enthusiastically participated in the bid for many paintings, the auctioneers wouldn’t buy his justification for the “genuine mistake”. As bidders stood in a queue to hand in their cheques/cash to collect their paintings, the narrator stood deliberately at the end. He never felt such a fool or had colder feet all his life.

Question 42.
According to the poet what contributes most to the injuries sustained by the athletes?
Answer:
According to the poet, zealous athletes play so rough that they do not even consider one another’s feelings in their dealings with other players. The players are mostly goaded by prize money or glory from the media’s light on them. They maim each other as they romp. Cracking vertebrae and spines don’t stop the rough players. Most of the players don’t have sportsmanship.

They don’t treat success and failure equally. In order to get the light of fame on their face, they are ready to permanently disable a rival player too. The crazy desire for championship titles and the light of fame on them leads them to ignore swollen eyes, snapping of knee joints or cracking of wrists. In short, the poet believes the apathy of zealous players and obvious indifference to the pain and debilitating injury contribute most to the injuries sustained by athletes.

[OR]

Explain how ‘Lines Written in Early Spring’ stresses the fact that Nature is meant for Man’s joy and pleasure to be preserved by Man.
Answer:
Nature’s holy plan is to offer joy and peace to all forms of life on earth. He firmly believes that man is meant to spend his days blissfully taking part in the vitality and joy surrounding him. The poet believes that the harmonious, peaceful and happy co-existence of birds, plants, trees and brooks soothes the troubled mind of man. But he remembered the depravity of man which was evident in Napoleonic wars. He was fed up with man’s capacity to destroy innocent lives and property.

The poet is unhappy with unnatural aspects of industrial revolution, the misery caused by wars, greedy and aggressive behaviour causing suffering in humans. Man has lost his sensitivity to listen to the joyful lessons of nature and has gone to the extent of denuding the forest which really sustains life on earth. The poet stands to reason that nature functions on God’s plan but the man changes the holy plan wrecking the natural joy of human life.

Question 43.
Write an essay of about 150 words by developing the following hints.
C.V. Burgess-master craftsman-reveals-few names-first patient Joe-wife Emily- surgical room-Emily apprehensive-two children-Dorothea-Dentist hospital becomes play area-snobbish woman-whole play resolves-dramatic irony of patients’ guess- the dentists’ room -opening the tool cabinet-The groaning noise-vexation of Emily- Joe add to the dramatic irony-nurse moves about-feigned seriousness-the fact of the misplacement of key-which adds comic.
Answer:
C.V. Burgess is a master craftsman who reveals only a’few names. The first patient Joe and his wife Emily are the most dominant characters. Joe is inside the surgical room. Emily is anxious about the husband. Among the two children the dramatist uses only the girl’s name Dorothea and the Dentist hospital becomes a play area for Dorothea and the little boy who claim the same magazine for reading. The snobbish woman who goes on showing her photo album gives us an impression if she came to see the doctor or to show her photos. The whole play revolves around the dramatic irony of patients’ guess as to what happened inside the dentists’ room and what really happened.

The pliers, hack saw and the huge hammer were taken inside the dentist’s room only for opening the tool cabinet. But the patients wondered how these would’be used in dental surgery. The groaning noise from inside the dentist’s rooms and the vexation of Emily Joe add to the fear of the patients waiting. A few women patients leave the waiting room scared of subjecting themselves to the torture of having their bad teeth extracted with carpentry tools. The nurse moves about with all feigned seriousness without disclosing the fact of the misplacement of key.

[OR]

Narrator – wants – photograph – photographer wait for an hour – comments – angry – called on Saturday – proof – Narrator shocked – photograph – not like him – worthless bauble.
Answer:
‘With the Photographer’ by Stephen Leacock is narrated in the first person. The narrator while sitting in the photographer’s studio begins, to read some magazines and sees how other people look and the narrator begins to feel insecure about his appearance. It is also noticeable that the photographer takes a dislike to his face judging it to be wrong.

What should have been a simple process of taking a photograph becomes something of a nightmare for the narrator. How confident the narrator becomes is noticeable when he returns to the photographer’s studio the following Saturday. He realises that the photograph that has been taken of him looks nothing like him. This angers the narrator as he was simply looking for a photograph that would show his likeness. He accepts that he may not be to everybody’s liking when it comes to his physical appearance but is angered by the changes made. The photographer has retouched the photograph so much that the narrator does not recognise himself.

The end of the story is also interesting as the reader realises that it is just a worthless bauble when he begins to cry. He has been judged solely by his appearance by the photographer whose job was to simply take a life like photograph.

Question 44.
Write a summary or Make notes of the following passage.
Goa is a vibrant, living entity and more than just a geographical sunspot on the western coast of India. Famous for its silver sands and mesmeric sunsets, its recorded history datesback to the 3rd century B.C. It is blessed with marvelous weather, fabulous beaches, picturesque hill-top forts, gracious people and awe inspiring cathedrals. Arombol, 50 km north of Panaji, is a unique beach, which is both rocky and sandy.

It was a sweet water pond right near the seashore that’s very pleasant to bask in. Goa not only has almost 120 km long silver beaches but also offers long, wide and picturesque rivers and scenic lakes. Aqua sports hold great attraction for tourists to Goa. Some of the most popular aqua sports are swift rides on water scooters and speedboats at the Bay of Doha Paula. The best time to visit Goa, the ideal Serene Beach Resort is during the relatively cool winter months between late September and mid-March.
Answer:
Summary
No. of words given in the original passage: 160
No. of words to be written in the summary: 160/3 = 51 ± 5
Rough Draft
Goa is in the western coast of India. It is famous for silver sands, sunsets, weather, beaches, forts, gracious people and eathedrals. Arombol is a rocky and sandy beach with a small water pond with sweet water. Aqua sports like swift rides on water scooters and speedboats are available at the Bay of Dona Paula. It is good to visit Goa between late September and mid March.

Fair Draft
Goa
Goa is in the western coast of India. It is famous for silver sands, sunsets, weather, beaches, forts, gracious people and cathedrals. Arombol is a rocky and sandy beach with a small water pond with sweet water. Aqua sports like swift rides on water scooters and speedboats are available at the Bay of Dona Paula. It is good to visit Goa between late September and mid March.

No. of words in the summary: 67

[OR]

Note-making
Title: Goa
Answer:
Location:
western coast of India

Tourist attraction:
silver sands, sunsets, weather, beaches, forts, gracious people and cathedrals Arombol beach – sweet water pond Aqua sports held at at the Bay of Dona Paula

Best time to visit:
between late September and mid-March

Question 45.
Read the following advertisement and respond to it with a resume/bio-data/CV considering yourself fulfilling the conditions specified:
[Write XXXX for your name and YYYY for your address]
Wanted:
Applications are invited for the post of a Typist in a reputed school of Madurai. The . candidate must have at least 5 years of experience. The applicant must have a pleasant personality. He/she should be good in English. Attractive salary. Interested candidates should apply to The Principal, AKS International, Indirapuram, Madurai within 10 days with detailed resume.

14th January, 2020

From
Savitha
2, Gandhi street
Madurai
To
The Correspondent
AKS International School
Indirapuram
Madurai
Respected Sir/Madam,
Sub: Application for the post of a Typist
With reference to your advertisement dated 8th January 2019,1 hereby wish to apply for the post of a typist. I have rich experience and can communicate well with a pleasing personality. If given an opportunity, I will satisfy my superiors to the best of my ability.
Please find enclosed my resume for your kind perusal.

Yours sincerely,
Savitha
Address on the Envelope To
The Correspondent
AKS International School
Indirapuram
Madurai

Resume:
Name : Savitha Rajeev
Date Of Birth : 8th May, 1991
Marital Status : Married
Husband’s Name : Mr. Rajeev
Address For Communication : Yyy
Contact Number – Mobile: 9988776655
Residence : 22445566
Mother Tongue : Tamil
Language Known : English and Tamil
Educational Background:

Professional Experience:

Hobbies : Photograph, Gardening, Reading, Travelling.
Expected Salary : 27,000/ per month
Salary Drawn : 23,000/ per month
Reference : 1. Mr. Ravi (Manager -no. 9998887777
2. Mrs. Rani (Manager-Raj Enterprises) 9900000222

Declaration
I hereby declare that the above given information is true to my knowledge.
Station: YYY
Date. 14.01.2020

Savitha
Signature of the Applicant

[OR]

Write an essay in about 150 words on ‘Convincing the public not to discriminate against those with AIDS’.
Answer:
Abolish discrimination against those with AIDS
People living with HIV infection and AIDS should have the same basic rights and responsibilities as those which apply to all citizens of the country. They have the same rights to liberty and autonomy, security of the person and to freedom of movement as the rest of the population. No restrictions should be placed on the free movement of HIV-infected people, and they may not be segregated, isolated or quarantined in prisons, schools, hospitals or elsewhere merely because of their HIV-positive status.

Only a sexual relationship without proper precautions will be a risk factor. Therefore they should be accepted whole heartedly without any discrimination. People with HIV infection or AIDS are entitled to the right to make their own decisions about any matter that affects marriage and child-bearing – although counselling about the consequences of their decisions should be provided. Due to the fear of isolation, ignorance, denial, and discrimination, people will allow HIV to develop into AIDS, further decreasing life expectancy, since the body’s immune system function will have been significantly lowered.

Along with family bonds and intimate relationships, a spiritual relationship is also strained. Fear and vulnerability included fear of punishment from God, fear of being discovered as HIV/ AIDS-positive and fear of the future and death. They should be given the love, warmth, psycho-social and emotional support.

Question 46.
Read the following sentences, spot the errors and rewrite the sentences correctly.
(a) People of diverse cultures lives in India.
(b) There is many people who exhibit unity on diversity.
(c) Water is needed to irrigating the fields.
(d) We live in times when incomes is rising.
(e) The opening ceremony for the 2016 Summer Olympic Games took place in Maracan stadium.
Answer:
(a) People of diverse cultures lives in India.
(b) There are many people who exhibit unity on diversity.
(c) Water is needed to irrigate the fields.
(d) We live in times when incomes are rising.
(e) The opening ceremony of the 2016 Summer Olympic Games took place in Maracana stadium.

[OR]

Fill in the blanks appropriately.
(a) They could ……….. untie the ………. (knot / not)
(.b) The world ………….. avoid war in the larger interest of human race. (Fill in with a modal verb)
(c) Every student …………. respect the national symbols, (use semi-modal)
(d) ……….. you have the hall ticket you can enter the examination hall. (Use a suitable link word).
Answer:
(a) not, knot
(b) should
(c) must
(d) If

Question 47.
Identify each of the following sentences with the fields given below.
(a) The flight was cancelled due to fog.
(b) Spicy food can cause acidity in the stomach.
(c) Meena stumbled upon a chance to practice running a race.
(d) The company has recommended a dividend of 75 percent.
(e) The monitor is not working. Get it repaired.
(Sports, Weather, Commerce, Nutrition and Dietetics, Computer)
Answer:
(a) Weather
(b) Nutrition and Dietetics
(c) Sports
(d) Commerce
(e) Computer

[OR]

Read the following passage carefully and answer the questions that follow.
For millions of people in India, river Ganga is the most sacred river. It is considered as mother and goddess. It is also a lifeline to millions of Indians who live along its course and depend on it for their daily needs. River Ganga is the third largest river in the world by the amount of water that flows through it. It is the longest river in India. The river water of Ganga is used for irrigation, transportation and fishing. The Gangetic plain formed by river Ganga is one of the most fertile lands on earth.

This is why almost 10% of the world population lives here and earns its livelihood. The Ganga, in India is the most worshipped body of water. The irony here is that in spite of being the most worshipped river, it is also the dirtiest one. It carries some metals thrown out by tanneries, waste produced by industries and urban waste from different cities. All this has made river Ganga the fifth most polluted river in the world. Another major reason that adds to the Ganga river pollution is the coal based power plants on its banks which burn tons of coal every year and produce tons of fly ash. This ash mixed with domestic waste water is released, in the river.

This bad situation calls for an urgent need to make efforts to reduce pollution and revive river Ganga. To achieve these objectives, Government of India has started a programme named “Namami Ganga Programme”. The main pillars of this programme are sewage treatment, river surface cleaning, afforestation, riverfront development and public awareness. The importance of the success of ‘Namami Gange Programme’ can be seen through the following lines; “If Ganga dies, India dies. If Ganga thrives, India thrives. No Ganga, No India.”
Questions.

1. For whom is river Ganga a lifeline?
2. For what purpose is the Ganga river water used?
3. Most people in India consider the Gan^a as
4. What are the pollutants that make the river dirty?
5. Write any two pillars of the “Namami Gange”?

Answer:

1. River Ganga is a lifeline for millions of Indians.
2. The Ganga river water used for irrigation, transportation and fishing.
3. Goddess
4. Metals thrown out by tanneries, waste produced by industries and urban waste from different cities makes the river dirty.
5. The pillars of this programme are sewage treatment, river surface cleaning, afforestation, riverfront development and public awareness.