# Question -25

**Geometry**Level 3

The line \(L\) has intercept \(a\) on x-axis and intercept \(b\) on y-axis. The co-ordinate axes are rotated through a fixed angle, keeping the origin fixed. If \(p\) and \(q\) are intercepts of the line \(L\) on the new axes, then find the value of \(\left( \dfrac{1}{a^2}-\dfrac{1}{p^2}+\dfrac{1}{b^2}-\dfrac{1}{q^2} \right) \)