Kamis, 09 September 2010

36th British Mathematical Olympiad 2000 Problems

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36th British Mathematical Olympiad 2000 Problems1.  Two circles meet at A and B and touch a common tangent at C and D. Show that triangles ABC and ABD have the same area. 2.  Find the smallest value of x2 + 4xy + 4y2 + 2z2 for positive reals x, y, z with product 32.