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Let `P` be any moving point on the circle `x^2+y^2-2x=1. A B` be the chord of contact of this point w.r.t. the circle `x^2+y^2-2x=0` . The locus of the circumcenter of triangle `C A B(C` being the center of the circle) is `a. 2x^2+2y^2-4x+1=0` `b. x^2+y^2-4x+2=0` `c. x^2+y^2-4x+1=0` `d. 2x^2+2y^2-4x+3=0`

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