Find the equation of line joining the center of the circles `x^2+y^2-2x+4y+1=0` and `2x^2+2y^2-2y+4x+1=0`

The circles x^(2)+y^(2)-2x-4y+1=0 and x^(2)+y^(2)+4y-1 =0

Find the equation of the tangent to the circle x^2+y^2-4x-6y-12=0 at (-1,-1)

Find the equation of the radical axis of the following circles. x^2 + y^2 -2x - 4y -1 = 0. x^2 + y^2 - 4x - 6y + 5 = 0 .

The equation of the circle having its centre on the line x +2y - 3 = 0 and passing through the points of intersection of the circles x^2 + y^2 - 2x - 4y +1 = 0 and x^2+y^2 -4x -2y +4=0 is :

Show that x + y = 1 is the equation of the line of a diameter of the circle x ^2 + y ^2 - 4x + 2y + 1 = 0

The equation of the tangent to the circle x^(2)+y^(2)-4x+4y-2=0 at (1,1) is

The equation of the tangent to the circle x^(2)+y^(2)-4x+4y-2=0 at (1,1) is

Find the equation of the circle whose diameter is the common chord of the circles x^2+y^2+2x+3y+1=0 and x^2+y^2+4x+3y+2=0

Find the equation of the radical axis of the following circles. x^2+y^2-2x-4y-1=0 x^2+y^2-4x-6y+5=0