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Part of 1966 IMO Shortlist

Problems(1)

Describe the locus of points Z

Source:

9/27/2010
We are given a circle KK with center SS and radius 11 and a square QQ with center MM and side 22. Let XYXY be the hypotenuse of an isosceles right triangle XYZXY Z. Describe the locus of points ZZ as XX varies along KK and YY varies along the boundary of Q.Q.
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