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Question: The radius of circle having its centre at (0, 3) and passing through the foci of the ellipse \(\frac...

The radius of circle having its centre at (0, 3) and passing through the foci of the ellipse x216\frac{x^{2}}{16}+y29\frac{y^{2}}{9}=1 is-

A

3

B

3.5

C

4

D

12\sqrt{12}

Answer

4

Explanation

Solution

Foci of ellipse (±7\sqrt{7}, 0)

Radius = (07)2+(30)2\sqrt{(0 - \sqrt{7})^{2} + (3 - 0)^{2}} = 7+9\sqrt{7 + 9}= 4