Let a tangent to parabola \( y^{2}=4 a x \) at point \( P\left(a t^...

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Let a tangent to parabola \( y^{2}=4 a x \) at point \( P\left(a t^{2}, 2 a t\right), t \neq 0 \) intersects its directrix at point \( Q \). Let ' \( S \) ' represents the focus of parabola \( y^{2}=4 a x \) and \( C \)
\( \mathrm{P} \) represents the circle circumscribing the triangle \( P Q S \).

W
If normal to parabola \( y^{2}=4 a x \) at point \( P \) intersects the line joining \( Q \) and \( S \) at \( R \), then \( \frac{(P S)(Q R)}{(P Q)(P R)} \) is equal to :
(a) 4
(b) 3
(c) 2
(d) 1
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