If \( A_{1}, A_{2} ; G_{1}, \mathrm{G}_{2} \); and \( H_{1}, H_{2} \) are two arithmetic, geomet...

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If \( A_{1}, A_{2} ; G_{1}, \mathrm{G}_{2} \); and \( H_{1}, H_{2} \) are two arithmetic, geometric and harmonic means respectively, between two quantities \( a \) and \( b \), then \( a b \) is equal to
(a) \( \mathrm{A}_{1} \mathrm{H}_{2} \)
(b) \( \mathrm{A}_{2} \mathrm{H}_{1} \)
(c) \( G_{1} G_{2} \)
(d) None of these
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