Difference between revisions of "2006 Romanian NMO Problems/Grade 9/Problem 3"
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Revision as of 10:45, 27 July 2006
Problem
We have a quadrilateral inscribed in a circle of radius , for which there is a point on such that .
(a) Prove that there are points which fulfill the above conditions.
(b) Prove that .
Virgil Nicula