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JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

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Application +4 | -1
If H1,H2{H_1},{H_2} are two harmonic means between two positive numbers aa and b  (a≠b)b\;\left( {a \ne b} \right), AA and GG are the arithmetic and geometric means between aa and bb, then H2+H1H2H1\frac{{{H_2} + {H_1}}}{{{H_2}{H_1}}} is
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Correct option: D
2AG2\frac{{2A}}{{{G^2}}}
Option D (2AG2\frac{{2A}}{{{G^2}}}) is correct because it is derived by simplifying the expression using the definitions of harmonic, arithmetic, and geometric means.

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