A family of circles passing through the points `(3, 7) and (6, 5)` cut the circle `x^2 + y^2 - 4x-6y-3=0`. Show that the lines joining the intersection points pass through a fixed point and find the coordinates of the point.

Consider a family of circles passing through two fixed points A(3,7)&B(6,5) then the chords in which the circle x^(2)+y^(2)-4x-6y-3=0 cuts the members of the family are concurrent at a point.Find the coordinates of this point.

consider a family of circles passing through two fixed points S(3,7) and B(6,5) . If the common chords of the circle x^(2)+y^(2)-4x-6y-3=0 and the members of the family of circles pass through a fixed point (a,b), then

consider a family of circles passing through two fixed points S(3,7) and B(6,5) . If the common chords of the circle x^(2)+y^(2)-4x-6y-3=0 and the members of the family of circles pass through a fixed point (a,b), then

consider a family of circles passing through two fixed points S(3,7) and B(6,5) . If the common chords of the circle x^(2)+y^(2)-4x-6y-3=0 and the members of the family of circles pass through a fixed point (a,b), 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.

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 circle passing through the points (-2, 5), (0, 0) and intersecting x^2+y^2-4x+3y-2=0 orthogonally is

Find the equations of the circles passing through the point (-4,3) and touching the lines x+y=2 and x-y=2