If the length of the minor axis of ellipse is equal to half of the distance between the foci, then the eccentricity of the ellipse is :

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Aicharya · Accepted Answer

The length of minor axis is given by 2 b and the distance between foci is given by 2 a e Given: 2 b = 1 2 × 2 a e ⇒ 2 b = a e ⇒ 4 b 2 = a 2 e 2 ⇒ 4 b 2 a 2 = e 2 ⇒ 4 1 - e 2 = e 2 ⇒ 4 - 4 e 2 = e 2 ⇒ e = 2 5

If the length of the minor axis of ellipse is equal to half of the distance between the foci, then the…

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