Question

Equation of the ellipse with foci ($\pm ,0$) and e = $\frac{1}{4}$ is

• A.
• B.
• C.
• D.

Answer 1

The correct option is D

S = ($\pm \sqrt{2},0$), e =$\frac{1}{4}$

C = (0,0), $b^2$ = $32\left(\frac{15}{16}\right)$ = 30

ae = $\sqrt{2}$

a = $4\sqrt{2}$,
$\frac{x^2}{32}+\frac{y^2}{30}$ = 1