If ` x^(2) + y^(2) - 4x - 2y + 5 = 0 " and " x^(2) + y^(2) - 6x - 4y - 3 = 0 `
are members of a coaxal system of circles then centre of a point circle in the system is

Centre and radius of circle 2x^(2) + 2y^(2) - 6x + 4y - 3 = 0 are

A circle through the common points of the circles x^(2) + y^(2) - 2x - 4y + 1 = 0 and x^(2) + y^(2) - 2x - 6y + 1 = 0 has its centre on the line 4x - 7y - 19 = 0 . Find the centre and radius of the circle .

. The centres of the circles x^(2)+y^(2)-6x-8y-7=0 and x^(2)+y^(2)-4x-10y-3=0 are the ends of the diameter of the circle

If (1,-2) is a limiting point of a coaxal system of which the circle x^(2) + y^(2) - x - 2y - 1 = 0 is a member , then the equation of a circle of the system passing through origin is

Origin is a limiting point of a coaxal system of which x^(2) + y^(2) - 6x - 8y + 1 = 0 is a member . The other limiting point is