Question
Locus of the middle points of all chords of , which are at a distance of 2 units from the vertex of parabola y^{2} = –8axis



None of these

medium
Solution
Let (h, k) be the midpoint of a chord of the ellipse . Then, its equation is
It is at a distance of 2 units from the vertex (0, 0) of the parabolay^{2} = –8ax.
Hence, the locus of (h, k) is
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