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JEE Math Practice Question

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

  1. A.$${x^2} + {y^2} - 6y - 7 = 0$$
  2. B.$${x^2} + {y^2} - 6y + 7 = 0$$
  3. C.$${x^2} + {y^2} - 6y - 5 = 0$$
  4. D.$${x^2} + {y^2} - 6y + 5 = 0$$

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