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

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

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.

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

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

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.

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.

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 radius of the circle which touches the line x+y=0 at M(-1,1) and cuts the circle x^(2)+y^(2)+6x-4y+18=0 orthogonally,is