MCQ On Class 11 Maths Chapter 11 Conic Sections

1 If a parabolic reflector is 20 cm in diameter and 5 cm deep then the focus of parabolic reflector is

A (0 0)

B (0, 5)

C (5, 0)

D (5, 5)

View Answer

Answer:(5, 0)

2 If the length of the tangent from the origin to the circle centered at (2, 3) is 2 then the equation of the circle is

A (x + 2)² + (y – 3)² = 3²

B (x – 2)² + (y + 3)² = 3²

C (x – 2)² + (y – 3)² = 3²

D (x + 2)² + (y + 3)² = 3²

View Answer

Answer:(x – 2)² + (y – 3)² = 3²

3 The center of the ellipse (x + y – 2)² /9 + (x – y)² /16 = 1 is

A (0, 0)

B (0, 1)

C (1, 0)

D (1, 1)

View Answer

Answer:(1, 1)

4 The number of tangents that can be drawn from (1, 2) to x² + y² = 5 is

A 0

B 1

C 2

D More than 2

View Answer

Answer:1

5 The equation of parabola with vertex (-2, 1) and focus (-2, 4) is

A 10y = x² + 4x + 16

B 12y = x² + 4x + 16

C 12y = x² + 4x

D 12y = x² + 4x + 8

View Answer

Answer:12y = x² + 4x + 16

6 The parametric coordinate of any point of the parabola y² = 4ax is

A (-at², -2at)

B (-at², 2at)

C (a sin²t, -2a sin t)

D (a sin t, -2a sin t)

View Answer

Answer:(a sin²t, -2a sin t)

7 If (a, b) is the mid point of a chord passing through the vertex of the parabola y² = 4x, then

A a = 2b

B 2a = b

C a² = 2b

D 2a = b²

View Answer

Answer:2a = b²

8 A man running a race course notes that the sum of the distances from the two flag posts from him is always 10 meter and the distance between the flag posts is 8 meter. The equation of posts traced by the man is

A x²/9 + y²/5 = 1

B x²/9 + y2 /25 = 1

C x²/5 + y²/9 = 1

D x²/25 + y²/9 = 1

View Answer

Answer:x²/25 + y²/9 = 1

9 The radius of the circle 4x² + 4y² – 8x + 12y – 25 = 0 is?

A √57/4

B √77/4

C √77/2

D √87/4

View Answer

Answer:√77/2

10 The locus of the point from which the tangent to the circles x² + y² – 4 = 0 and x² + y² – 8x + 15 = 0 are equal is given by the equation

A 8x + 19 = 0

B 8x – 19 = 0

C 4x – 19 = 0

D 4x + 19 = 0

View Answer

Answer:8x – 19 = 0

11 The equation of a hyperbola with foci on the x-axis is

A x²/a² + y²/b² = 1

B x²/a² – y²/b² = 1

C x² + y² = (a² + b²)

D x² – y² = (a² + b²)

View Answer

Answer:x²/a² – y²/b² = 1

12 At what point of the parabola x² = 9y is the abscissa three times that of ordinate

A (1, 1)

B (3, 1)

C (-3, 1)

D (-3, -3)

View Answer

Answer:(3, 1)

13 The center of the circle 4x² + 4y² – 8x + 12y – 25 = 0 is?

A (2,-3)

B (-2,3)

C (-4,6)

D (4,-6)

View Answer

Answer:(2,-3)

14 The equation of parabola with vertex at origin the axis is along x-axis and passing through the point (2, 3) is

A y² = 9x

B y² = 9x/2

C y² = 2x

D y² = 2x/9

View Answer

Answer:y² = 9x/2

15 In an ellipse, the distance between its foci is 6 and its minor axis is 8 then its eccentricity is

A 4/5

B 1/√52

C 3/5

D 1/2

View Answer

Answer:3/5

16 The perpendicular distance from the point (3, -4) to the line 3x – 4y + 10 = 0

A 7

B 8

C 9

D 10

View Answer

Answer:7

17 The equation of parabola whose focus is (3, 0) and directrix is 3x + 4y = 1 is

A 16x² – 9y² – 24xy – 144x + 8y + 224 = 0

B 16x² + 9y² – 24xy – 144x + 8y – 224 = 0

C 16x² + 9y² – 24xy – 144x – 8y + 224 = 0

D 16x² + 9y² – 24xy – 144x + 8y + 224 = 0

View Answer

Answer:16x² + 9y² – 24xy – 144x + 8y + 224 = 0

18 The parametric representation (2 + t², 2t + 1) represents

A a parabola

B a hyperbola

C an ellipse

D a circle

View Answer

Answer:a parabola

19 A rod of length 12 CM moves with its and always touching the co-ordinate Axes. Then the equation of the locus of a point P on the road which is 3 cm from the end in contact with the x-axis is

A x²/81 + y²/9 = 1

B x²/9 + y²/81 = 1

C x²/169 + y²/9 = 1

D x²/9 + y²/169 = 1

View Answer