ID: Class: 11 Subject: Math Topic: Straight Lines Type: Subjective Year: null

Question:

If $p$ and $q$ are the lengths of perpendiculars from the origin to the lines $x \cos \theta - y \sin \theta = k \cos 2\theta$ and $x \sec \theta + y \csc \theta = k$, respectively, prove that $p^2+4q^2=k^2$.