If a,b,c be +ve and unequal, then
>1
<1
>6
<6
Explanation for the correct option:
Step 1. Given that, a,b,c be +ve and unequal
∵AM>GM
∴(a/b)+(b/a)2>abba=1
⇒ ab+ba>2 …(1)
Similarly,
bc+cb>2 …(2)
Step 2. By adding equation (1) and (2), we get
ab+ba+bc+cb+ca+ac>6
⇒ ba+ca+cb+ab+ac+bc>6
⇒ (b+ca)+(c+ab)+(a+bc)>6
Hence, Option ‘C’ is Correct.