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The circle x^2+y^2-4x-4y+4=0 is inscribe...

The circle `x^2+y^2-4x-4y+4=0` is inscribed in a triangle which has two of its sides along the co-ordinate axes. The locus of the circumcenter of the triangle is `x + y - xy + k(x^2+y^2)^(1/2)=0`. Find k.

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