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[" If a circle passes through the point "(a,b)" and cuts the circle "x^(2)+y^(2)=4" orthogonally,then the locus of "],[" its centre is- "],[[" (1) "2ax+2by+(a^(2)+b^(2)+4)=0," (2) "2ax+2by-(a^(2)+b^(2)+4)=0],[" (3) "2ax-2by+(a^(2)+b^(2)+4)=0," (4) "2ax-2by-(a^(2)+b^(2)+4)=0]]

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