\( P Q \) is a double ordinate of the parabola \( y^{2}=4 a x \). If the normal at \( P \) inter...

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\( P Q \) is a double ordinate of the parabola \( y^{2}=4 a x \). If the normal at \( P \) intersect the line passing through \( Q \) and parallel to \( x \)-axis at \( G \) then locus of \( G \) is a parabola with
(a) Length of latus rectum equal to \( 4 a \)
(b) Vertex at \( (4 a, 0) \)
(c) Directrix as the line \( x-3 a=0 \)
(d) Focus at \( (5 a, 0) \)
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