Ellipse


for integral point, you can count the integers as domain of x and y is fixed. so count it manually.

@harishr
for rational, infinite.Consider a nonvertical line through the point (3,0)
of slope 𝑚. This line meets the ellipse at exactly one other point, and it's not hard to show that the coordinates of that point are rational again for all rational slopes m.

@ashishdeosingh it shud be $(3 ,0)$ right?

@harshalpatil
For a part, i think he must have taken.