Maxima and MinimaHard
Question
If three positive real numbers a, b, c are in A.P. with abc = 64 then minimum value of b is :-
Options
A.4
B.3
C.2
D.1/2
Solution
∵ 
≥ (abc)1/3
≥ (64)1/3 (∵ a, b, c are in A.P.)
⇒ b ≥ 4
Minimum value of b is 4.
≥ (abc)1/3 ≥ (64)1/3 (∵ a, b, c are in A.P.)⇒ b ≥ 4
Minimum value of b is 4.
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