First slide

Ellipse

Question

In an ellipse, the distance between the foci is $6$ and length of semi minor axis is $4$ , then eccentricity of the ellipse is

Moderate

A

$\frac{2}{5}$
B

$\frac{3}{5}$
C

$\frac{2}{3}$
D

$\frac{1}{\sqrt{2}}$

Solution

$2 a e = 6$ and $b = 4 .$ So $a^{2} e^{2} = a^{2} - b^{2}$
$\Rightarrow a^{2} = 25$ and $e = \frac{3}{5}$

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