1971 Canadian MO Problems

This is an empty template page which needs to be filled. You can help us out by finding the needed content and editing it in. Thanks.

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