If the normals at three points \( P, Q, R \) of the parabola \( y^{2}=4 a x \) meet in a point \...

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If the normals at three points \( P, Q, R \) of the parabola \( y^{2}=4 a x \) meet in a point \( O^{\prime} \) and \( S \) be its focus, then \( |S P| \cdot|S Q| \cdot|S R| \) is equal to :
\( \mathrm{P} \)
(a) \( a^{3} \)
(b) \( a^{2}\left(S O^{\prime}\right) \)
W
(c) \( a\left(S O^{\prime}\right)^{2} \)
(d) None of these
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