Center of a circle S passing through the intersection points of circles `x^2+y^2-6x=0 &x^2+y^2-4y=0` lies on the line `2x-3y+12=0` then circle S passes through

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

Find the equation of the circle through the point of intersection of circles x^2+y^2-6x=0 and x^2+y^2+4y-1=0 and the point (-1, 1).

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

Find the equation of the circle passing through the intersection of the circles, x^2+y^2-2ax=0 and x^2+y^2-2by=0 and having the centre on the line x/a - y/b = 2.

The equation of the circle passing through the points of intersection of the circle x^(2)+y^(2)-2x+4y-20=0 , the line 4x-3y-10 =0 and the point (3, 1) is

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.

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.

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