The radical axis of the circles `x^2 +y^2 +4x-6y=12` and `x^2+y^2+2x-2y-1=0` divides the line segment joining the centres of the circles in the ratio

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

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 external centre of similitude of the circle x^(2)+y^(2)-12x+8y+48=0 and x^(2)+y^(2)-4x+2y-4=0 divides the segment joining centres in the ratio

A rhombus is inscribed in the region common to the two circle x^(2)+y^(2)-4x-12=0 and x+y-4x-12=012 its vertices on the line joining the centres of the circles.The area of the rhombous is?

The circles x^(2)+y^(2)-4x-6y-12=0 and x^(2)+y^(2)+4x+6y+4=0

. The centres of the circles x^(2)+y^(2)-6x-8y-7=0 and x^(2)+y^(2)-4x-10y-3=0 are the ends of the diameter of the circle