If p and q are the lengths of the perpendiculars from the origin on the lines,x cosec $\alpha$ $-$ y sec $\alpha$ = k cot 2$\alpha$ andx sin$\alpha$ + y cos$\alpha$ = k sin2$\alpha$respectively, then k2 is equal to :

Question

If p and q are the lengths of the perpendiculars from the origin on the lines,

x cosec $\alpha$ $-$ y sec $\alpha$ = k cot 2$\alpha$ and

x sin$\alpha$ + y cos$\alpha$ = k sin2$\alpha$

respectively, then k² is equal to :

4p² + q²