Asked by clache

An ellipse and a hyperbola have the same foci, $A$ and $B$, and intersect at four points. The ellipse has major axis 50, and minor axis 40. The hyperbola has conjugate axis of length 20. Let $P$ be a point on both the hyperbola and ellipse. What is $PA \cdot PB$?
Answered by AoPS
Stop Cheating! Thankfully, the answer isn't 600.
Answered by Sammy
500
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