Question 180
(a) Show that there are no two points with entire coordinates in the Cartesian plane that are equally distanced from the point $\left(\sqrt{2}, 1/3\right)$.
(b) Show that there is a circle in the Cartesian plane that contains exactly 2011 points with entire coordinates inside.
(b) Show that there is a circle in the Cartesian plane that contains exactly 2011 points with entire coordinates inside.