The internal centre of similitude of the two circles `x^(2)+y^(2)+6x-2y+1=0`,`x^(2)+y^(2)-2x-6y+9=0` is

The internal centre of similitude of the circles x^(2)+y^(2)-2x+4y+4=0,x^(2)+y^(2)+4x-2y+1=0 divides the segment joining their centres in the ratio

The internal centre of similitude of two circles (x-3)^(2)+(y-2)^(2)-9,(x+5)^(2)+(y+6)^(2)=9 is

The circles x^(2)+y^(2)+6x+6y=0 and x^(2)+y^(2)-12x-12y=0

The two circles x^(2)+y^(2)-2x-3=0 and x^(2)+y^(2)-4x-6y-8=0 are such that

If P(1, 1//2) is a centre of similitude for the circles x^(2)+y^(2)+4x+2y-4=0 and x^(2)+y^(2)-4x-2y+4=0 , then the length of the common tangent through P to the circles, is

If (-(1)/(3),-1) is a centre of similitude for the circles x^(2)+y^(2)=1 and x^(2)+y^(2)-2x-6y-6=0, then the length of common tangent of the circles is

Find the centre and radius of the circle x^(2) + y^(2) + 6x -10y -2 =0

Find the centre and radius of the circle 3x^(2) 3y^(2) - 6x +9y - 8 =0 .