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If the system of equations ax+hy+g=0, ...

If the system of equations
ax+hy+g=0, hx+by+f=0
and `ax^(2)+2hxy+by^(2)+2gx+2fy+c+lambda=0` has a uniqe solution and
`(abc+2fgh-af^(2)-bg^(2)-ch^(2))/(h^(2)-ab)=8,` the value of `lambda` is

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The correct Answer is:
8
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