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Saturday, June 20, 2015
Singapore maths Olympiad
Let a,b,c,d be real numbers such that a2 + b2
+ 2a – 4b + 4 = 0 and c2 + d2 – 4c + 4d + 4 = 0.
Let m and M be minimum and Maximum value of (a – c)2
+ (b – d)2 respectively. What is m x M.
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