The point (2, 3) is a limiting point of a coaxial system of circles of which x2+y2=9 is a member. The co-ordinates of the other limiting point is given by
(1813,2713)
(x−2)2+(y−3)2=0
or (x2+y2−9)−4x−6y+22=0
or (x2+y2−9)−λ(2x+3y−11)=0 represents the family of co-axial circles.
C = (λ,3λ2), r=√λ2+9λ24−11λ+9