Find the equation of the ellipse in each of the following cases: centre at (0,0) axes parallel to co-ordinate axes eccentricity is `sqrt3/2` and the ellipse passing through the point `(sqrt3,1/2).

Explanation

Centre at (0,0) one end of major axis (-5,0) eccentricity 3/5.`therefore` a=5 , c/a=3/5 or c=3 `therefore` b^2=16 `therefore` Eqn of the ellipse is
`x^2/a^2+y^2/b^2=1` or x^2/25+y^2/16=1`