If tangents to the parabola intersect the hyperbola
at A and B, then find the locus of point of intersection of tangents at A and B.
Tangents to parabola intersect the hyperbola at A and B.
Let the point of intersection of tangents at A and B be P(h, k).
So, AB will be chord of contact of hyperbola w.r.t point P.
Thus, equation of AB is
or
This line touches the parabola
So,
Hence, required locus is
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