Class 11 Maths Chapter 11 Conic Sections MCQs

1) The length of the transverse axis is the distance between the ____.

a. Two vertices

b. Two Foci

c. Vertex and the origin

d. Focus and the vertex

Answer: (a) Two vertices

see also: Permutation and Combination Important questions

2) The parametric equation of the parabola y² = 4ax is

a. x = at; y = 2at

b. x = at²; y = 2at

c. x = at²; y² = at³

d. x = at²; y = 4at

Answer: (b) x = at²; y = 2at

3) The centre of the circle 4x² + 4y² – 8x + 12y – 25 = 0 is

a. (-2, 3)

b. (1, -3/2)

c. (-4, 6)

d. (4, -6)

Answer: (b) (1, -3/2)

4) The equation of the directrix of the parabola y²+4y+4x+2=0 is

a. x = 1

b. x = -1

c. x = 3/2

d. x = -3/2

Answer: (c) x = 3/2

5) 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

Answer: (b) 1

6) The length of the latus rectum of x² = -9y is equal to

a. 3 units

b. -3 units

c. 9/4 units

d. 9 units

Answer: (d) 9 units

7) For the ellipse 3x²+4y² = 12, the length of the latus rectum is:

a. 2/5

b. 3/5

c. 3

d. 4

Answer: (c) 3

8) The eccentricity of a hyperbola is

a. e =1

b. e > 1

c. e < 1

d. 0 < e < 1

Answer: (b) e > 1

9) The focus of the parabola y² = 8x is

a. (0, 2)

b. (2, 0)

c. (0, -2)

d. (-2, 0)

Answer: (b) (2, 0)

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

a. 1/2

b. 1/5

c. 3/5

d. 4/5

Answer: (c) 3/5