A fixed circle is cut by circles passing through two given points `A(x_1, y_1) and B(x_2, y_2)`. Show that the chord of intersection of the fixed circle with any one of the circles, passes through a fixed point.

The locus of the centres of all circles passing through two fixed points.

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

The equation of the circle passing through the point (1, 1) and through the points of intersection of the circles : x^2+ y^2=6 and x^2+ y^2-6y+8=0 is :