Two mutually perpendicular tangents of the parabola \( y^{2}=4 a x ...

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Two mutually perpendicular tangents of the parabola \( y^{2}=4 a x \) meet its axis in \( P_{1} \) and \( P_{2} \). If \( S \) is the focus of the parabola then \( \frac{1}{S P_{1}}+\frac{1}{S P_{2}} \) is equal to :
\( \mathrm{P} \)
(a) \( \frac{4}{a} \)
(b) \( \frac{2}{a} \)
(c) \( \frac{1}{a} \)
(d) \( \frac{1}{4 a} \)
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