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TIMO 2017 - Senior Secondary (Grades 10-12) - Heat Round - Paper 5 Question 14

TIMO · TIMO 2017 - Senior Secondary (Grades 10-12) - Heat Round - Paper 5

Question 14

Real numbers $a,b,c$ satisfy $a+b+c=6$. Find the minimum of $a^2+b^2+c^2$.