# Problem Locus

Geometry Level pending

The circle $$x^{2} + y^{2} - 4x - 4y + 4$$ is inscribed in a triangle whose two sides lie on the co-ordinate axes.The locus of the circumcenter of this triangle can be represented as $$ax + by - cxy +k(\sqrt(x^{2} + y^{2})$$ =0.Where a,b,c,d are real constants.

Find the value of a+b+c+k.

×