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Question

Question: The radius of the circle passing through the foci of the ellipse\(\frac{x^{2}}{16}\)+\(\frac{y^{2}}{...

The radius of the circle passing through the foci of the ellipsex216\frac{x^{2}}{16}+y29\frac{y^{2}}{9}=1 and having its centre at (0, 3):

A

4

B

3

C

12\sqrt{12}

D

7/2

Answer

4

Explanation

Solution

Focii (±7\sqrt{7}, 0)

r = (07)2+(30)2\sqrt{(0–\sqrt{7})^{2} + (3–0)^{2}}

=7+9\sqrt{7 + 9}

= 4