Question

What will be the coordinates of the foci of an ellipse translated to the point $(0,5)$?

Answer 1

The coordinates of the foci of a standard ellipse is given by $(\pm ae,0)$.

On translating the ellipse to the point $(h,k)$, the new coordinates become $(h\pm ae,k)$.

Hence, the coordinates of the ellipse after translating it to $(0,5)$ will be $(0\pm ae,5)$.

$(\pm ae,5)$