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A variable circle C has the equation x^2...

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.The locus of the centre of the circle is

A

`((1)/(10),-(1)/(10))`

B

`((1)/(10),(1)/(10))`

C

`(-(1)/(10),(1)/(10))`

D

`(-(1)/(10),-(1)/(10))`

Text Solution

Verified by Experts

The correct Answer is:
Hence, required ordered pair is `(-(1)/(10),(1)/(10))`
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