A point P moves such that the chord of c...

A point `P` moves such that the chord of contact of the pair of tangents from `P` on the parabola `y^2=4a x` touches the rectangular hyperbola `x^2-y^2=c^2dot` Show that the locus of `P` is the ellipse `(x^2)/(c^2)+(y^2)/((2a)^2)=1.`

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