If the pair of lines ax^2+2hxy+by^2=0,ax...

If the pair of lines `ax^2+2hxy+by^2=0,ax^2+2hxy+by^2+2gx+2fy+c=0` form a rhombus then prove that `(a-b)fg+h(f^2-g^2)=0`.

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The correct Answer is:

`h(f^2-g^2)+fg(a-b)=0`

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