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 variable triangle `O A Bdot` Sides `O A` and `O B` lie along the x- and y-axis, respectively, where `O` is the origin. Find the locus of the midpoint of side `A Bdot`

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