Find the equation to the ellipse (referred to its axes as the axes of `x\ a n d\ y` respectively) which passes through the point (-3,1) and has eccentricity `sqrt(2/5)`

Explanation

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


as it passes through `(-3,1)` we get


` 9a^2(1-e^2) +a^2 = a^2.a^2(1-e^2)`


given the eccentricity `e=sqrt2/5`


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