Question

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 $PA \cdot PB$?

Jun 9, 2016

Stop Cheating! Thankfully, the answer isn't 600.

Oct 7, 2017

500

Apr 4, 2020

Related Questions

identify the conic section. if its a parabols give the vertex if its a circle, give the center and r... Choose the equation that best represents an ellipse for the given foci and co-vertices. 1. foci (... Please help with this problem: An ellipse and a hyperbola have the same foci, $A$ and $B$, and inte...