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Minor Axis of Ellipse

The distance ...

Question

The distance between the foci is equal to the minor axis of an ellipse then its eccentricity is

A

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B

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C

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D

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Solution

The correct option is B
Given that $2 a e = 2 b \Rightarrow a^{2} e^{2} = a^{2} (1 - e^{2}) \Rightarrow 2 e^{2} = 1 \Rightarrow e = \frac{1}{\sqrt{2}}$

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