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JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

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Application +4 | -1
If two geometric means g1g_1 and g2g_2 and one arithmetic mean A be inserted between two numbers, then g12g2+g22g1=\frac{g_1^2}{g_2}+\frac{g_2^2}{g_1}=
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Correct option: C
2 A2 {~A}
Option C (2A2A) is correct because it is the value of g12g2+g22g1\frac{g_1^2}{g_2} + \frac{g_2^2}{g_1} when two geometric means g1g_1 and g2g_2 and one arithmetic mean A are inserted between two numbers.

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