Question

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

Answer:

You don't, because it's false. If all black dots happen to be on the line and white dots on the line (and the rest of the plane is neither white nor black), there is no such pair.

Answer 2

Assume, the plane color's is white. If, so black an white dots are on same area means, one black dot stays on the white as the total plane is white. So, we have not find out the distance b/w those and they are one unit.