Question -25

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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