Find the centre and radius of the Circle `x^2 + y^2 + 2x - 4y - 4 = 0`.

Find the centre and radius of the circle x^2 + y^2 + 6x + 8y-96 = 0 .

Find the centre and radius of the circle 3x^(2)+ 3y^(2) - 6x + 4y - 4 = 0

Find the centre and the radius of the circle x^(2)+y^(2)+8x+10y-8=0 .

In each the following find the centre and radius of circles. x^(2)+y^(2)-4x-8y-45=0 .

In each the following find the centre and radius of circles. 2x^(2)+2y^(2)-x=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 .

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

Let find the radical and centre of the circles x^2 + y^2 - 2x + 6y = 0 " ___"(1) x^2 + y^2 - 4x - 2y + 6 = 0 " ____"(2) and x^2 + y^2 -12x + 2y + 3 = 0 "___"(3)

Find the value of k if kx+ 3y - 1 = 0, 2x + y + 5 = 0 are conjugate lines with respect to the circle x^(2) + y^(2) - 2x - 4y - 4 =0 .

Find the direct common tangents of the circles x^(2) + y^(2) +22x -4y -100 =0 and x^(2) + y^(2) -22x + 4y +100 =0