First slide

Means - A.M/G.M/H.M

Question

If a, b and c are three positive real numbers, then the minimum value of the expression $\frac{b + c}{a} + \frac{c + a}{b} + \frac{a + b}{c}$ is

Moderate

A

1
B

2
C

3
D

6

Solution

$AM \geq GM$
$\begin{array}{l} \frac{\frac{b}{a} + \frac{c}{a} + \frac{c}{b} + \frac{a}{b} + \frac{a}{c} + \frac{b}{c}}{6} \geq (1)^{1 / 6} \Rightarrow minimum value is 6 \end{array}$

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