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JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

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Application +4 | -1
If A1,A2;G1,G2A_1, A_2 ; G_1, G_2 and H1,H2H_1, H_2 be two A.M.s, G.M.s and H.M.s between two numbers respectively, then G1G2H1H2×H1+H2A1+A2=\frac{G_1 G_2}{H_1 H_2} \times \frac{H_1+H_2}{A_1+A_2}=
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Correct option: A
1
The correct answer is 1 because, based on the properties of AM, GM, and HM, the expression simplifies to 1.

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