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Find the locus of the middle points of t...

Find the locus of the middle points of the chords of the parabola `y^2=4a x` which subtend a right angle at the vertex of the parabola.

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The locus of the middle points of the focal chords of the parabola, y 2 =4x

The locus of the middle points of the focal chords of the parabola, y^2=4x is: