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.

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Answer 1

Answer:

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.

Answer 2

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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.