A circle S touches the line x+y=2 at (1,1) and cuts the circle `x^2+y^2+4x-5y+6=0` at P and Q . Then line passing through the point is

A circle touching the line x +y - 2 = 0 at (1,1) and cuts the circle x^(2) +y^(2) +4x +5y - 6 = 0 at P and Q. Then

A variable circle which always touches the line x+y-2=0 at (1, 1) cuts the circle x^2+y^2+4x+5y-6=0 . Prove that all the common chords of intersection pass through a fixed point. Find that points.

The equation of a circle which touches the line x +y= 5 at N(-2,7) and cuts the circle x^2 + y^2 + 4x-6y + 9 = 0 orthogonally, is

If centre of a circle lies on the line 2x - 6y + 9 =0 and it cuts the circle x^(2) + y^(2) = 2 orthogonally then the circle passes through two fixed points

Equation of the circle touching the circle x^(2) + y^(2) -15x + 5y =0 at ( 1,2) and also passing through the point (0,2) is :

The line 3x -4y = k will cut the circle x^(2) + y^(2) -4x -8y -5 = 0 at distinct points if

Find the equation of the circle concentric with the circle x^2 +y^2 - 4x - 6y-9=0 and passing through the point (-4, -5)

Find the points in which the line y = 2x + 1 cuts the circle x^(2) + y^(2) = 2 .

The equation of the cirele which passes through the point (1, 1) and touches the circle x^2+y^2+4x-6y-3=0 at the point (2, 3) on it is

Show that the line 5x + 12y - 4 = 0 touches the circle x^(2)+ y^(2) -6x + 4y + 12 = 0