If \( p \) and \( p^{\prime} \) be the perpendiculars from the orig... VIDEO
If \( p \) and \( p^{\prime} \) be the perpendiculars from the origin upon the straight lines \( x \sec \theta+y \operatorname{cosec} \theta=a \) and \( x \cos \theta-y \sin \theta=a \cos 2 \theta \), prove that :
\[
4 p^{2}+p^{\prime 2}=a^{2} \text {. }
\]
\( \mathrm{W} \)
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