Question

If a, b, c, d are positive real numbers then $\frac{a}{b}+\frac{b}{c}+\frac{c}{a}$ is greater than or equal to

• A. 3
• B. 6
• C. 27
• D. None of these

Answer 1

The correct option is A 3

Given a, b, c, d are positive real numbers

$AM\ge GM$

$\frac{\frac{a}{b}+\frac{b}{c}+\frac{c}{a}}{3}\ge {(\frac{a}{b}.\frac{b}{c}.\frac{c}{a})}^{\frac{1}{3}}\frac{a}{b}+\frac{b}{c}+\frac{c}{a}\ge 3$