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. IF YOU SOLVE THIS YOU GET 150 PTS!!!

Explanation:

You don't, because it's false. If all black dots happen to be on the line [math]y=0[/math] and white dots on the line [math]y=\pi[/math] (and the rest of the plane is neither white nor black), there is no such pair.

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