Question

The distance between the foci of an ellipse is 16 and eccentricity is $1 / 2$. Length of the major axis of the ellipse is

(a) 8

(b) 64

(c) 16

(d) 32

Answer 1

Given the distance between the foci $=2 a e=16$ and eccentricity of ellipse $(e)=\frac{1}{2}$. We know that length of the major axis of the ellipse $=2 a=\frac{2 a e}{e}=\frac{16}{1 / 2}=32$

So, The correct option of this question will be (D).