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

Area of a plane is infinity.

then distance between a black and white is

$\frac{ \infty }{ \infty }$

=1.

Thank you. I hope you understood

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.

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