locus at middle point

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asked Oct 27, 2017 in Mathematics by saunakroy911 (45 points) 1
A tangent to the hyperbola x^2/a^2 -y^2/b^2=1 cuts the ellipse x^2/a^2+y^2/b^2=1 at P and Q. What is the locus of midpoint of PQ?

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