1971 Canadian MO Problems

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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

Solution

Problem 2

Solution

Problem 3

Solution

Problem 4

Determine all real numbers such that the two polynomials and have at least one root in common.

Solution

Problem 5

Solution

Problem 6

Solution

Problem 7

Solution

Problem 8

Solution

Problem 9

Solution

Problem 10

Solution

Resources

• 1971 Canadian MO
• Canadian Mathematical Olympiad
• Canadian MO Problems and Solutions