Question

If the length of latusrectum of an Ellipse is equal to semi minor axis then Its eccentricity is

• A.
• B.
• C.
• D.

Answer 1

The correct option is B

$\frac{2b^2}{a}$ = $\frac{1}{2}$(2b) $\Rightarrow$ $\frac{b}{a}$ = $\frac{1}{2}$

e = $\sqrt{1-\frac{b^2}{a^2}}$ = $\sqrt{1-\frac{1}{4}}$ = $\frac{\sqrt{3}}{2}$