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A line through the origin meets the circ...

A line through the origin meets the circle `x^(2)+y^(2)=a^(2)` at P and the hyperbola `x^(2)-y^(2)=a^(2)` at Q. Prove that the locus of the point of intersection of tangent at P to the circle with the tangent at Q to the hyperbola is a straight line.

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