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A circle has the same center as an ellip...

A circle has the same center as an ellipse and passes through the foci `F_1a n dF_2` of the ellipse, such that the two curves intersect at four points. Let `P` be any one of their point of intersection. If the major axis of the ellipse is 17 and the area of triangle `P F_1F_2` is 30, then the distance between the foci is

A

(a)13

B

(b)11

C

(c)9

D

(d)7

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