If the pair of straight lines $x^2-2 p x y-y^2=0$ and $x^2-2 p x y-y^2=0$ be such that each pair bisects the angle between the other pair, then

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Aicharya · Accepted Answer

Equation of bisector of both pair of straight lines, $p x^2+2 x y-p y^2=0$

$q x^2+2 x y-q y^2=0$

From (1) and (2). $\frac{\mathrm{q}}{1}=\frac{2}{-2 \mathrm{p}}=\frac{-\mathrm{q}}{-1} \Rightarrow \mathrm{pq}=-1$

If the pair of straight lines $x^2-2 p x y-y^2=0$ and $x^2-2 p x y-y^2=0$ be such that each pair bisects the…