Difference between revisions of "1972 Canadian MO"
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Revision as of 16:32, 19 September 2024
\textbf{1972 Canadian MO Problems and Solutions}
Problem 1:
Given three distinct unit circles, each of which is tangent to the other two, find the radii of the circles which are tangent to all three circles.
Solution:
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Problem 2:
Let 
be non-negative numbers. Define 
to be the sum of all of products of pairs 
