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Beyond Horizon Set 2 Paper 2 · Q7

Paper 2Logic & proofGeometry

Given any five points in the square I2={(x,y):0≤x≤1, 0≤y≤1}I^2=\{(x,y):0\le x\le 1,\ 0\le y\le 1\}, only one of the following statements is true. Which one is it?

AThe five points lie on a circle.
BAt least one square can be formed using four of the five points.
CAt least three of the five points are collinear.
DThere are at least two points such that the distance between them does not exceed 12\frac{1}{\sqrt2}.

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