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A circle has the same center as an ellipse and passes through the foci F1 and F2 of the ellipse. The two curves intersect in 4 points. Let P be any point of intersection. If the major axis of the ellipse is 15 and the area of triangle PF1F2 is 26, compute the distance between the foci.

 Sep 6, 2020
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The distance between the foci is 18.

 Sep 6, 2020

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