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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Explanation:
In my opinion, for this if we just imagine the scenario we comes up with a picture with "infinite white dots on black background" or vice versa . 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
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