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Ifa, b, c are positive real number such ...

Ifa, b, c are positive real number such that `ab^(2)c^(3) = 64` then minimum value of `((1)/(a) + (2)/(b) + (3)/(c))` is equal to

A

6

B

2

C

3

D

None of these

Text Solution

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The correct Answer is:
C
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Knowledge Check

  • If a and b are positive real numbers such that a+b =c, then the minimum value of ((4 )/(a)+ (1)/(b)) is equal to :

    A
    `2/3`
    B
    `1/3`
    C
    `1`
    D
    `3/2`

  • If a, b, c are three positive real numbers such that abc^(2) has the greatest value (1)/(64) , then

    A
    `a=b=(1)/(2),c=(1)/(4)`
    B
    `a=b=(1)/(4),c=(1)/(2)`
    C
    `a=b=c=(1)/(3)`
    D
    none of these

  • If a, b, c are positive real numbers such that a+b+c=1 , then the greatest value of (1-a)(1-b)(1-c), is

    A
    `(1)/(27)`
    B
    `(8)/(27)`
    C
    `(4)/(27)`
    D
    9

    • Similar Questions

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    If three positive real numbers a,b,c are in AP with abc=64, then minimum value of b is:

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