Question

If the distance between directrices is thrice the distance between focii of an ellipse, then its eccentricity is-

• A. $\frac{1}{2}$
• B. $\frac{2}{3}$
• C. $\frac{1}{\sqrt{3}}$
• D. $\frac{4}{5}$

Answer 1

Answer: (C)

$\frac{1}{\sqrt{3}}$

Answer 2

By given condition, we have

2a/e=3(2ae)Že²=1/3