If the lines \( a x^{2}+2 h x y+b y^{2}=0 \) form two sides of a parallelogram and the line \( l...

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If the lines \( a x^{2}+2 h x y+b y^{2}=0 \) form two sides of a parallelogram and the line \( l x+m y=1 \) is one diagonal, prove that the equation of the other diagonal is, \( y(b l-h m)=x(\mathrm{am} \) \( -h l) \).
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