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If the latus rectum of an ellipse is equ...

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

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Latus rectum of an ellipse `(l) = (2b^2)/a`
Minor axis of ellipse `= 2b`
We are given,` (2b^2)/a = (2b)/2`
`=>b/a = 1/2`
Let `e` is eccentricity of the ellipse. `e^2 = 1-1/4 = 3/4`
`:.e = sqrt(3/4) = sqrt3/2`
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