1971 Canadian MO Problems
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Contents
Problem 1
is a chord of a circle such that and Let be the center of the circle. Join and extend to cut the circle at Given find the radius of the circle
Problem 2
Let and be positive real numbers such that . Show that .
Problem 3
is a quadrilateral with . If is greater than , prove that .
Problem 4
Determine all real numbers such that the two polynomials and have at least one root in common.
Problem 5
Problem 6
Show that, for all integers , is not a multiple of 121. Solution