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JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

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Application +4 | -1
If G1G_1 and G2G_2 are two geometric means and AA is the arithmetic mean inserted between two positive numbers then the value of G12G2+G22G1\frac{G_1^2}{G_2}+\frac{G_2^2}{G_1} is
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Correct option: C
2A2 A
Option C (2A2A) is correct because the expression simplifies to a+ba+b, which is equal to 2A2A where AA is the arithmetic mean of aa and bb.

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