Prove that the triangle formed by the lines \( a x^{2}+2 h x y+b y^...

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Prove that the triangle formed by the lines \( a x^{2}+2 h x y+b y^{2}=0 \) and \( l x+m y=1 \) is isosceles, if \( h\left(I^{2}-m^{2}\right)=(a-b) m \).
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