The centre of the circle `(1+m^(2)) (x^(2)+y^(2))-2cx-2cmy =0" is "`

The radius of the circle (1+m^(2))(x^(2)+y^(2))-2cx-2cmy=0" is "

The centre and radius of the circle (1+m^(2))*(x^(2)+y^(2))-2ax-2amy=0 is

Centre of the circle 2x^(2) + 2y^(2) -x = 0 is :

Prove that the centres of the circles x^(2)+y^(2)=1,x^(2)+y^(2)+6x-2y-1=0 and x^(2)+y^(2)-12x+4y=1 are collinear

The radical centre of the circles x^(2) + y^(2) = 1, x^(2) + y^(2) - 2x - 3 = 0 and x^(2) + y^(2) - 2y - 3 = 0 is

The radical centre of the circles x^(2) + y^(2) +1=0 , x^(2) + y^(2) - 2x - 3 = 0 " and " x^(2) + y^(2) - 2y - 3 = 0 is

The locus of the centre of the circle passing through the intersection of the circles x^(2)+y^(2)=1 and x^(2)+y^(2)-2x+y=0 is

Prove that the locus of the centre of the circle (1)/(2)(x^(2)+y^(2))+xcostheta+ysintheta-4=0 is x^(2)+y^(2)=1