Mark the correct alternative in each of the following: If \( p_{1} \) and \( p_{2} \) are the le...
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0Mark the correct alternative in each of the following:
If \( p_{1} \) and \( p_{2} \) are the lengths of the perpendiculars from the origin upon the lines \( x \sec \theta+y \operatorname{cosec} \theta=a \) and \( x \cos \theta-y \sin \theta=a \cos 2 \theta \) respectively, then
(A) \( 4 p_{1}^{2}+p_{2}^{2}=a^{2} \)
(B) \( p_{1}^{2}+4 p_{2}^{2}=a^{2} \)
(C) \( p_{1}^{2}+p_{2}^{2}=a^{2} \)
(D) none of these
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