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PQ is a double ordinate of the parabola ...

PQ is a double ordinate of the parabola `y^2 = 4ax`. If the normal at P intersect the line passing through Q and parallel to axis of x at G, then locus of G is a parabola with -

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PQ is a double ordinate of a parabola y^(2)=4ax. Find the locus of its points of trisection.

PC is the normal at P to the parabola y^(2)=4ax,C being on the axis.CP is produced outwards to disothat PQ=CP show that the locus of Q is a parabola.