Coordinate Geometryhard
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Given the family of circles Sλ:x2+y24x6y+9+λ(x+y2)=0S_{\lambda}: x^2 + y^2 - 4x - 6y + 9 + \lambda(x + y - 2) = 0, where λ\lambda is a parameter, find the coordinates of the fixed point(s) through which all circles in this family pass.