NTSE Stage 2 MAT 2017 Question Paper

Question : 22 of 100

Marks: +1, -0

You need to take n arbitrary points on or inside a square of side 2 cm such that there will always be a pair of points at a distance of not more than

√2

cm. What is the minimum value of n?

Validate

Solution:

From the above figure it is clear that minimum number of points inside a square of side 2 cm are P, Q, R, S, T whose pair wise distance is not more than

√2

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