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Show that the locus of the middle poin...

Show that the locus of the middle points of chords of the parabola `y^(2) = 4ax` passing through the vertex is the parabola `y^(2)= 2ax` .

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The correct Answer is:
Therefore, the required equation to the locus of (h,k) is `y^(2) = 2ax`
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