From a point P on the parabola , tangents PQ and PR are drawn to the ellipse
The locus of the mid-point of the chord QR is
where
1
2
3
4
Let (h, k) be a point on the given parabola . The chord of contact of (h, k) with respect to the ellipse
is
The equation of the chord of the ellipse with mid point is
(1) and (2) represent the same line. Hence
(h, k) lis in the parabola. Hence
Hence the locus of (h, k) is
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