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[" Find the equation of the circle passing through the point of intersection of the circles "],[x^(2)+y^(2)-6x+2y+4=0,x^(2)+y^(2)+2x-4y-6=0" and with its centre on the line "y=x" ."]

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The equation of the circle passing through the points of intersection of the circles x^(2)+y^(2)+6x+4y-12=0,x^(2)+y^(2)-4x-6y-12=0 and having radius sqrt(13)" is

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The equation of the circle passing through the points of intersection of the circles x^(2)+y^(2)+6x+4y-12=0 , x^(2)+y^(2)-4x-6y-12=0 and having radius sqrt(13) is