A variable circle passes through the fixed point \( (2,0) \) and touches \( y \)-axis. Then, the...

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A variable circle passes through the fixed point \( (2,0) \) and touches \( y \)-axis. Then, the locus of its centre, is
(A) a parabola
(B) a circle
(C) an ellipse
(D) a hyperbola
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