First slide

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

Question

If $A_{1}, A_{2}$ be two arithmetic means and $G_{1}, G_{2}$ be two geometric means between two positive numbers a and b, then $\frac{A_{1} + A_{2}}{G_{1} G_{2}}$ is equal to

Moderate

A

$\frac{a b}{a + b}$
B

$\frac{2 a b}{a + b}$
C

$\frac{a + b}{2 a b}$
D

$\frac{a + b}{a b}$

Solution

Use $A_{1} + A_{2} = a + b$ and $G_{1} G_{2} = a b .$

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