Conic Sections Question 378

Question: The distance between the foci of an ellipse is 16 and eccentricity is $ \frac{1}{2} $ . Length of the major axis of the ellipse is

[Karnataka CET 2001]

Options:

A) 8

B) 64

C) 16

D) 32

Show Answer

Answer:

Correct Answer: D

Solution:

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