## 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 y ^{2} = 4ax is**

a. x = at; y = 2at

b. x = at^{2}; y = 2at

c. x = at^{2}; y^{2 }= at^{3}

d. x = at^{2}; y = 4at

Answer:** (b) x = at ^{2}; y = 2at**

**3) The centre of the circle 4x ^{2} + 4y^{2} – 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 y ^{2}+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 x ^{2}+y^{2} = 5 is**

a. 0

b. 1

c. 2

d. More than 2

Answer:** (b) 1**

**6) The length of the latus rectum of x ^{2} = -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 3x ^{2}+4y^{2} = 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 y ^{2} = 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**