Find the equation of the ellipse in the following case: eccentricity `e=1/2` and major axis `=12`

Explanation

let the equation of the given ellipse be `x^2/a^2+y^2/b^2=1`


given vertices `=(pm5,0) ` and foci are `(pm4,0)`


therefore `a=5` and `ae=4`


now


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