Question

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

Ž 1 = 3e² Ž e² = 1/3 Ž e =$\frac{1}{\sqrt{3}}$