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JEE MAIN 2023
15-04-2023 S1
Question
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. The $G_1^4+G_2^4+G_3^4+G_1^2 G_3^2$ is equal to
Select the correct option:
A
$2\left(\mathrm{~A}_1+\mathrm{A}_2\right) \mathrm{G}_1 \mathrm{G}_3$
B
$\left(\mathrm{A}_1+\mathrm{A}_2\right)^2 \mathrm{G}_1 \mathrm{G}_3$
C
$\left(A_1+A_2\right) G_1^2+G_3^2$
D
$2\left(\mathrm{~A}_1+\mathrm{A}_2\right) \mathrm{G}_1^2+\mathrm{G}_3^2$
✓ Correct! Well done.
✗ Incorrect. Try again or view the solution.
Solution
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Mathematics
Easy
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