1u mean inside the square??/
There is a square of side 4 units...
There are 17 points in the square.
Prove that there will be 2 points such that the distance between them is less than equal to √2
(Think of where the number 17 could have come from!)
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5 Answers
1divide the given 4X4 square into sixteen 1X1 squares
there will be atleast 1 square with more than 1 point.
now maximum seperation possible in a square is √2 ie when points are placed on the vertices
hence the result follows
62Yes it is :)
This is one of the first questions of PHP (pigeon hole principle) you will see :)