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Q. A circle has the same centre as an ellipse and passes through the foci $F_1$ and $F_2$ of the ellipse the two curves intersect in four points. Let $P$ be any point of intersection. If the major axis of the ellipse is 15 and the area of $\triangle P F_1 F_2$ is 26 , then the distance between foci is

Conic Sections

Solution:

Correct answer is (a) 11