If \( p_{1}, p_{2} \) denote the lengths of the perpendiculars from...
If \( p_{1}, p_{2} \) denote the lengths of the perpendiculars from the origin on the lines \( x \sec \alpha+y \operatorname{cosec} \alpha=2 a \) and \( x \cos \alpha+y \sin \alpha=a \cos 2 \alpha \) respectively, then - \( \left(\frac{p_{1}}{p_{2}}+\frac{p_{2}}{P_{1}}\right)^{2} \) is equal to
(a) \( 4 \sin ^{2} 4 \alpha \)
(b) \( 4 \cos ^{2} 4 \alpha \)
(c) \( 4 \operatorname{cosec}^{2} 4 \alpha \)
(d) \( 4 \sec ^{2} 4 \alpha \)
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