The locus of the centres of the circles for which one end of a diameter is \( (1,1) \) while the...

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The locus of the centres of the circles for which one end of a diameter is \( (1,1) \) while the other end is on the line \( x+y=3 \) is
(a) \( x+y=1 \)
(b) \( 2(x-y)=5 \)
(c) \( 2 x+2 y=5 \)
(d) none of these
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