The general equation for a circle is given by:
[tex]x^2+y^2-2ax-2by-r^2=0[/tex]
(a,b) is the center coordinates and r is the radius.
For the given circle, we have:
[tex]x^2+y^2-2\sqrt[]{2}x-2\sqrt[]{2}y=r^2[/tex]
SInce it is a 2th degree equation for each variable and th, the largest integer n for which this circle can pass through exactly n integer coordinates is 2.
