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Mathematics, 22.10.2019 22:00 AShevel6767

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 $pa \cdot pb$?

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