If the pairs of straight lines \( a x^{2}+2 h x y-a y^{2}=0 \) and ...

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If the pairs of straight lines \( a x^{2}+2 h x y-a y^{2}=0 \) and \( b x^{2}+2 g x y-b y^{2}=0 \) be such that each bisects the angles between the other, then prove that \( h g+a b=0 \).
\( \mathrm{P} \)
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