A variable circle C has the equation x^2+y^2-2 (t^2-3t+1)x-2 (t^2+2t)y+t=0.The locus of centre of circle is

A variable circle C has the equation x^2+y^2-2 (t^2-3t+1)x-2 (t^2+2t)

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A variable circle C has the equation x^2+y^2-2 (t^2-3t+1)x-2 (t^2+2t)y+t=0.The locus of centre of circle is

A variable circle C has the equation x^2+y^2-2 (t^2-3t+1)x-2 (t^2+2t)y+t=0.The locus of centre of circle is

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