Class 11

Math

Algebra

Sequences and Series

If $a,b$ and $c$ are positive real numbers then $ba +cb +ac $ is greater than or equal to.

- $3$
- $6$
- $27$
- $5$

**Correct Answer: ** Option(a)

**Solution: **Using $AM≥GM$

$3ba +cb +ac ≥(ba ×cb ×ac )_{1/3}$

$⇒ba +cb +ac ≥3$

Hence, option 'A' is correct.