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If a,b and c are positive real number th...

If a,b and c are positive real number then `(a)/(b) + (b)/(c) + (c)/(a)` is greater than or equal to

A

3

B

6

C

27

D

5

Text Solution

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The correct Answer is:
A
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Knowledge Check

  • If a,b,c are distinct positive real numbers, then

    A
    `a^(2)+b^(2)+c^(2)gtab+bc+ca`
    B
    `a^(2)+b^(2)+c^(2)ltab+bc+ca`
    C
    `a^(2)+b^(2)+c^(2)geab+bc+ca`
    D
    `a^(2)+b^(2)+c^(2)leab+bc+ca`

  • If a,b and c are positive real numbers the least value of (a+b+c)(1/a+1/b+1/c) is:

    A
    1
    B
    9
    C
    12
    D
    none of these

  • If a, b and c are three positive real numbers such that a+bgec, then

    A
    `(a)/(1+a)+(b)/(1+b)ge(c)/(1+c)`
    B
    `(a)/(1+a)+(b)/(1+b)lt(c)/(1+c)`
    C
    `(a)/(1+a)+(b)/(1+b)gt(c)/(1+c)`
    D
    None of these

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    If a,b,c are positive real numbers,then sqrt(a^(-1)b)x sqrt(b^(-1)c)x sqrt(c^(-1)a) is equal to: 1 (b) abc(c)sqrt(abc)(d)(1)/(abc)

    If a, b, c are all distinct positive numbers, then (a+b)(b+c)(c+a) :

    If a,b,c are positive real numbers and a ge b ge c . Then, (ab)/(a+b)+(bc)/(b+c)+(ca)/(c+a)

    If a,b,c,d are positive real numbers such that (a)/(3) = (a+b)/(4)= (a+b+c)/(5) = (a+b+c+d)/(6) , then (a)/(b+2c+3d) is:-

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