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\( P \) is a point on the parabola \( y^{2}=4 a x ; Q \) and \( R \) are the extremities of its latus rectum, \( A \) is its vertex. If \( P Q R \) is an equilateral triangle lying within the parabola and \( \angle A Q P=\theta \), then \( \cos \theta= \)
(a) \( \frac{2-\sqrt{3}}{2 \sqrt{5}} \)
(b) \( \frac{9}{8 \sqrt{5}} \)
(c) \( \frac{\sqrt{5}-2}{2 \sqrt{5}} \)
(d) none of these
\( \mathrm{P} \)
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