Prove... for a square with 17 points...

IIT JEE 2015 Questions › Class VII-X Mathematics questions › Prove... for a square with 17 points...

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 âˆš2

(Think of where the number 17 could have come from!)

#Mathematics #Class VII-X Mathematics

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5 Answers

rickde ·2009-09-16 06:50:35

u mean inside the square??/

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Lokesh Verma ·2009-09-21 06:04:00

yes..

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fibonacci ·2009-09-23 03:24:23

divide 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 âˆš2 ie when points are placed on the vertices
hence the result follows

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RAY ·2009-09-23 03:27:51

nice one...is the answer rit nishant bro??

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Lokesh Verma ·2009-09-23 03:33:04

Yes it is :)

This is one of the first questions of PHP (pigeon hole principle) you will see :)

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° ∂ ∞ α β γ δ θ λ μ ν ξ π ρ σ φ ω ε ƒ κ τ υ Γ Δ Λ Σ Π Ω

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Prove... for a square with 17 points...

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