Find the equation of the radical axis of` x^2 + y^2 – 2x – 4y – 1= 0, x^2 + y^2 – 4x – 6y + 5 = 0`.

Find the equation of radical axis of the circles x^(2)+y^(2)-3x+5y-7=0 and 2x^(2)+2y^(2)-4x+8y-13=0 .

Find the equation of the normal to y = x^(2) -2x that is parallel to x + 4y -1 = 0

Find the equation of the circle which cuts the three circles x^2+y^2-3x-6y+14=0,x^2+y^2-x-4y+8=0, and x^2+y^2+2x-6y+9=0 orthogonally.

Find the equations to the common tangents of the circles x^2+y^2-2x-6y+9=0 and x^2+y^2+6x-2y+1=0

From a point R(5,8) , two tangents R Pa n dR Q are drawn to a given circle S=0 whose radius is 5. If the circumcenter of triangle P Q R is (2, 3), then the equation of the circle S=0 is (a) x^2+y^2+2x+4y-20=0 (b) x^2+y^2+x+2y-10=0 (c) x^2+y^2-x+2y-20=0 (d ) x^2+y^2+4x-6y-12=0

The circle x^2 + y^2 - 4x + 6y + c = 0 touches x axis if

Find the length of the common chord of the circles x^2+y^2+2x+6y=0 and x^2+y^2-4x-2y-6=0

Find the image of the circle x^2+y^2-2x+4y-4=0 in the line 2x-3y+5=0