The ordinates of the points \( P \) and \( Q \) of a parabola \( y^{2}=4 x \) are in the ratio \....

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The ordinates of the points \( P \) and \( Q \) of a parabola
\( \mathrm{P} \)
\( y^{2}=4 x \) are in the ratio \( 1: 2 \). Then the locus of the point
W
of intersection of the normal at \( P \) and \( Q \) is \( y^{2}=\frac{k}{343}(x-2)^{3} \) where the value of \( k \) is
(1) 18
(2) 36
(3) 54
(4) 12


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