Difference between revisions of "1975 Canadian MO Problems/Problem 3"

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Revision as of 15:42, 4 August 2016

Problem 3

For each real number $r$, $[r]$ denotes the largest integer less than or equal to $r$, $e.g.,$ $[6] = 6, [\pi] = 3, [-1.5] = -2.$ Indicate on the $(x,y)$-plane the set of all points $(x,y)$ for which $[x]^2+[y]^2 = 4$.

Solution

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1975 Canadian MO (Problems)
Preceded by
First question
1 2 3 4 5 6 7 8 Followed by
Problem 2