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Minimum value of (b+c)//a+(c+a)//b+(a+b)...

Minimum value of `(b+c)//a+(c+a)//b+(a+b)//c` (for real positive numbers `a,b,c`) is

A

1

B

2

C

3

D

6

Text Solution

Verified by Experts

The correct Answer is:
D
We have A.M `ge` G.M. Therefore,
`(a)/(b) + (b)/(a) + (b)/(c ) + (c )/(b) + (c )/(a) + (a)/(c ) ge 6`
or `(b + c)/(a) + (c + a)/(a) + (a + b)/(c ) ge 6`
Hence, the least value is 6.
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