Question

1. There are infinite black and white dots on a plane. Prove that the distance between one black dot and one white dot is one unit.

Answer 1

${\green {\boxed {\mathtt {✓verified\:answer}}}}$

There are infinite black and white dots on a plane. ... In either case we can see that plane is colored with black or white color only. So we can say that for each white dot there is exist a black dot at unit distance because if not than we end up coloring the full plane with white color.

......,

....