If the major axis is “n” (n>1) times the minor axis of the ellipse, then eccentricity is

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Solution

The correct option is D
$2 a = n (2 b)$
$\Rightarrow n = \frac{a}{b}$
$∴ e = \sqrt{\frac{a^{2} - b^{2}}{a^{2}}} = \sqrt{1 - \frac{b^{2}}{a^{2}}} =$
$\sqrt{1 - \frac{1}{n^{2}}} = \frac{\sqrt{n^{2} - 1}}{n}$

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