Let A₁ and A₂ be two arithmetic means and G₁, G₂, G₃ be three geo… | JEE Main 2023 Mathematics PYQ

MCQMediumJEE Main 2023 · 15 April, Shift 1Geometric Progression (GP)

Let $A_1$ and $A_2$ be two arithmetic means and $G_1, G_2, G_3$ be three geometric means of two distinct positive numbers. Then $G_1^{4}+G_2^{4}+G_3^{4}+G_1^{2}G_3^{2}$ is equal to

A
$2(A_1+A_2)G_1G_3$
B
$(A_1+A_2)G_1^{2}G_3^{2}$
C
$(A_1+A_2)^2G_1G_3$
D
$2(A_1+A_2)G_1^{2}G_3^{2}$

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