Not to steal Turtle's thunder or anything but I'm sure he won't mind. In Matlab I just put in
>> ezplot('(x-3)^2+y^2-((x-2)^2+y^2)*(x^2+(y-1)^2)',[-3,3],[-1,3])
>> hold on
>> plot([3 2 0],[0 0 1],'rx')
and get the attached graph. I don't think its any easily describable curve.