If $p$ and $q$ are the lengths of the perpendiculars from the origin to the straight lines $x \sec \alpha+y…
If $p$ and $q$ are the lengths of the perpendiculars from the origin to the straight lines $x \sec \alpha+y \operatorname{cosec} \alpha=10$ and $x \cos \alpha-y \sin \alpha=10 \cos 2 \alpha$, then $4 p^2+q^2=$