DIRECTIONS: In questions no. 96 to 100, you have a brief If a + b + c = 9 (where a, b, c are real numbers), then the minimum value of a2 + b2 + c2 is

Explanation

2 - + + = 9 2( ab bc ca ) c will be minimum if ab + bc + ca is 2 2 2 + + a b maximum. ab + bc + ca is maximum when a = 3, b = 3, and c = 3. [Q a + b + c = 9] \ minimum value of 2 2 2 + + a b c = 81 – 2(3 × 3 + 3 × 3 + 3 × 3) = 81 – 54 = 27 LCM of 2 4 5 , ,