PQ is a double ordinate of the parabola $y^{2} = 4 a x$ . The locus of the points of trisection of PQ is

9 y^{2} = 4 a x

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9 x^{2} = 4 a y

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9 y^{2} = 4 a x = 0

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9 x^{2} = 4 a y

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Solution

The correct option is A $9 y^{2} = 4 a x$
Required locus is $(3 y)^{2} = 4 a x$
$\Rightarrow 9 y^{2} = 4 a x$

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