\( P \) and \( Q \) are two variable points on the rectangular P hy...

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\( P \) and \( Q \) are two variable points on the rectangular
P hyperbola \( x y=c^{2} \) such that tangent at \( Q \) passes

W through the foot of the ordinate of \( P \). Show that the locus of the intersection of tangents at \( P \) and \( Q \) is a hyperbola with the same asymptotes as of the given hyperbola.
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