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[" A variable circle "C" has the equatio...

[" A variable circle "C" has the equation "],[x^(2)+y^(2)-(t^(2)-3t+1)x-2(t^(2)+2t)y+t],[" ,where "t" is a parameter.The locus of the centre of the "],[" circle is "],[" an ellipse "],[" a hyperbola "],[" pair of straight lines "]

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