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Question: P is a point on the axis of the parabola y<sup>2</sup> = 4ax; Q and R are the extremities of its lat...

P is a point on the axis of the parabola y2 = 4ax; Q and R are the extremities of its latus rectum, A is its vertex. If PQR is an equilateral triangle lying within the parabola and ĐAQP = q, then cos q =

A

2−325\frac{2 - \sqrt{3}}{2\sqrt{5}}

B

985\frac{9}{8\sqrt{5}}

C

5−223\frac{\sqrt{5} - 2}{2\sqrt{3}}

D

None of these

Answer

2−325\frac{2 - \sqrt{3}}{2\sqrt{5}}

Explanation

Solution