If the latusrectum of an ellipse is equal to half of minor axis, find its eccentricity.

Explanation

It is given that; length of latus rectum = half of minor axis
`(2b^2)/a​=b`

`⇒a=2b`

now, `b^2=a^2(1−e^2)`

`⇒b^2=4b^2(1−e^2)`

`⇒1−e^2=1/4`

`⇒e^2=3/4`


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