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1975 Canadian MO Problems/Problem 3

Revision as of 16:39, 4 August 2016 by Memc38123 (talk | contribs) (Created page with "== Problem 3 == For each real number <math>r</math>, <math>[r]</math> denotes the largest integer less than or equal to <math>r</math>, <math>e.g.,</math> <math>[6] = 6, [\pi]...")
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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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1969 Canadian MO (Problems)
Preceded by
First question 		1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • Followed by
Problem 2


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