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[" The centre of the circle passing through "(0,0)],[" and "(1,0)" and touching the circle "x^(2)+y^(2)=9" is "],[[" (a) "((1)/(2),(1)/(2))," (b) "((1)/(2),-sqrt(2))," (c) "((3)/(2),(1)/(2))" (d) "((1)/(2),(3)/(2))]]

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