Most Important Selected Qs for JEE AdvancedMathematicsSequences and Series
If a, b, c R⁺ then the minimum value of a (b^2+c^2 )+b (c^2+a^2 )+c (a^2+b^2 ) is equal to
Options
- Aabc
- B2 a b c
- C3abc
- D6 a b c
Correct answer
D. 6 a b c
Step-by-step solution
a b^2+a c^2+b c^2+b a^2+c a^2+c b^2 6 (a^6 b^6 c^6 )^ 1 / 6 So a (b^2+c^2 )+b (c^2+a^2 )+c (a^2+b^2 ) 6 a b c