Suppose that a normal drawn at a point \( P\left(a t^{2}, 2 a t\rig...

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Suppose that a normal drawn at a point \( P\left(a t^{2}, 2 a t\right) \) to parabola \( y^{2}=4 a x \) meets it again at \( Q \). If the length of \( P Q \) is minimum, then :
P
(a) \( t= \pm \sqrt{2} \)
(b) \( t= \pm \sqrt{3} \)
W
(c) \( P Q=6 \sqrt{3} \)
(d) \( Q \) is \( (8 a, \pm 4 \sqrt{2} a) \)
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