# Circle with parameter

Geometry Level pending

A variable circle $$C$$ has the equation $$x^2+y^2-2(t^2-3t+1)x-2(t^2+2t)y+t=0$$, where$$t$$ is a parameter. If the power of the point $$P(a,b)$$ with respect to the circle $$C$$ is constant then find the ordered pair $$(a,b)$$.

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