The equation of circle passing through `(1,-3)` and the points common to the two circt `x^2 + y^2 - 6x + 8y - 16 = 0, x^2 + y^2 + 4x - 2y - 8 = 0` is

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

The equation of the circle passing through (0,0) and cutting orthogonally the circles x^(2) + y^(2) + 6x - 15 = 0 , x^(2) + y^(2) - 8y + 10 = 0 is

The equation of the circle passing through (1,2) and the points of intersection of the circles x^2+y^2-8x-6y+21=0 and x^2+y^2-2x-15=0 is

The equation of the circle passing through (1,2) and the points of intersection of the circles x^2+y^2-8x-6y+21=0 and x^2+y^2-2x-15=0 is

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

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 :

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

Find the equation of the circles which passes through the origin and the points of intersection of the circles x^(2) + y^(2) - 4x - 8y + 16 = 0 and x^(2) + y^(2) + 6x - 4y - 3 = 0 .