Given equations of straight lines are x‌sec‌θ−y‌cosec‌θ=a ......(i) x‌cos‌θ+y‌sin‌θ=a‌cos‌2‌θ Also, p = Perpendicular distance from the origin to the line (i) P=
|0−0−a|
√sec2θ+cosec2θ
=
a‌sin‌θ.cos‌θ
√1
=a‌sin‌θ.cos‌θ=
a
2
‌sin‌2‌θ ⇒ 2p=a‌sin‌2‌θ and q = perpendicular distance from the origin to the line (ii) q=