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A tangent is drawn to the ellipse (x^(2)...

A tangent is drawn to the ellipse `(x^(2))/(a^(2))+(y^(2))/(b^(2))=1` to cut the ellipse `(x^(2))/(c^(2))+(y^(2))/(d^(2))=1` at the points P and Q . If tangents at P and Q to the ellipse `(x^(2))/(c^(2))+(y^(2))/(d^(2))=1` intersect at right angle then prove that `(a^(2))/(c^(2))+(b^(2))/(d^(2))=1`

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