If p and q are the lengths of perpendicular from the origin to the lines x cos θ−y sin θ=k cos 2θ and x sec θ+y cosec θ=k

If p and q are the lengths of perpendicular from the origin to the lines x cos θ−y sin θ=k cos 2θ and x sec θ+y cosec θ=k, respectively. Prove that p2+4q2=k2

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