Find the equation of an ellipse whose vertices are `(0,pm10)` and eccentricity `e=4/5`

Explanation

Required equation of the ellipse


`frac{x^{2}}{a^{2}}+frac{y^{2}}{b^{2}}=1 ldots(1)`


vertices of the ellipse are on the `y` - axis, the coordinates of the vertices are `(0, pm b)`.


`therefore b=10 `


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