Conic Sections Question 163

Question: If distance between the directrices be thrice the distance between the foci, then eccentricity of ellipse is

Options:

A) 1/2

B) 2/3

C) $ 1/\sqrt{3} $

D) 4/5

Show Answer

Answer:

Correct Answer: C

Solution:

According to the condition, $ \frac{2a}{e}=6ae $

therefore $ e=\frac{1}{\sqrt{3}} $ .