Let $S = 0$ is an ellipse whose vartices are the extremities of minor axis of the ellipse $E:\frac{{{x^2}}}{{{a^2}}} + \frac{{{y^2}}}{{{b^2}}} = 1,a > b$ If $S = 0$ passes through the foci of $E$ , then its eccentricity is (considering the eccentricity of $E$ as $e$ )
Let $S = 0$ is an ellipse whose vartices are the extremities of minor axis of the ellipse $E:\frac{{{x^2}}}{{{a^2}}} + \frac{{{y^2}}}{{{b^2}}} = 1,a > b$ If $S = 0$ passes through the foci of $E$ , then its eccentricity is (considering the eccentricity of $E$ as $e$ )
- A
$\sqrt {\frac{{1 - 2{e^2}}}{{1 - {e^2}}}} $
- B
$\frac{1}{{\sqrt {1 + {e^2}} }}$
- C
$\frac{{1 - 2{e^2}}}{{1 - {e^2}}}$
- D
$\frac{{{e^2}}}{{1 + {e^2}}}$
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