
### Instruction: help me answer this question Prove that p^2 + 4q^2 = k^2, if p and q are the lengths of perpendiculars from the origin to the lines x cos θ − y sin θ = k cos 2θ and x sec θ + y cosec θ = k, respectively., think step by step
### Assistant: The solution involves deriving the formula for perpendicular distance from a line to the origin, squaring both sides and then adding them. , The answer is The proof is provided in the solution.
