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

Explanation

according to given `(2b^2)/a=b => 2b=a`


`b=a/2`


we know that `c^2=a^2-b^2 = a^2-a^2/4 = 3a^2/4`


`c/a =sqrt3/2`