If \(P_1\) and \(P_2\) be the lengths of perpendiculars from the origin upon the straight lines
\(x\sec\theta+y\cosec\theta=a\) and \(x\cos\theta-y\sin\theta=a\cos2\theta\) respectively, then the value of \(4P_1^2+P_2^2\) is:
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Always reduce the line to standard form before using distance formula.