The locus of the centres of the circles passing through the intersection of the circles \( x^{2}...

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The locus of the centres of the circles passing through the intersection of the circles \( x^{2}+y^{2}=1 \) and \( x^{2}+y^{2}-2 x+y=0 \) is
(a) a line whose equation is \( x+2 y=0 \)
(b) a line whose equation is \( 2 x-y=1 \)
(c) a circle
(d) a pair of lines
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