The equation of the circle passing through the foci of the ellipse

Question:

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

  1. $x^{2}+y^{2}-6 y-7=0$

  2. $x^{2}+y^{2}-6 y+7=0$

  3. $x^{2}+y^{2}-6 y-5=0$

  4. $x^{2}+y^{2}-6 y+5=0$


Correct Option: 1

Solution:

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