The equation of the circle passing through the foci of the ellipse $\large\frac{x^2}{16}+\frac{y^2}{9}$$=1$ and having center at $(0,3)$ is :

Question

$\begin{array}{1 1} (1) x^2+y^2-6y -7 =0 \\(2) x^2+y^2-6y+7=0 \\ (3) x^2+y^2-6y-5=0 \\ (4) x^2+y^2-6y+5=0 \end {array}$