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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
(a) \( \frac{a}{b}+\frac{b}{a} \)
(b) \( \frac{1}{a}+\frac{1}{b} \)
(c) \( \sqrt{\frac{a}{b}}+\sqrt{\frac{b}{a}} \)
(d) \( \frac{a b}{a+b} \)
\( \mathrm{W} \)
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