# 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 $$\left( \dfrac{1}{a^2}-\dfrac{1}{p^2}+\dfrac{1}{b^2}-\dfrac{1}{q^2} \right)$$

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