Question

number of rational points on circle with center coordinates as (pie,e)

Answer 1

i need proof

Answer 2

Afetr thinking better, :), the coordinates on the circle will be like:
\((\pi+x, e+y)\)
where \(x^2+y^2=R^2\) and R is radius of the circle. So \(x=\pm \sqrt{R^2-y^2}\) and \(y=\pm \sqrt{R^2-x^2}\) . The only possibilities that coordinates will be rational is if x=\(-\pi\) and y=-e or the let say so, " complement nummber" of e and pi that make all decimals 0, or 9, or some periodic sequence.