🛠️ JEE➗ Maths

Let \(a_1, a_2, a_3, \ldots\) be a G.P. of increasing positive numbers. Let the sum of its \(6^{\text {th }}\) and \(8^{…

Q1

Let \(a_1, a_2, a_3, \ldots\) be a G.P. of increasing positive numbers. Let the sum of its \(6^{\text {th }}\) and \(8^{\text {th }}\) terms be 2 and the product of its \(3^{\text {rd }}\) and \(5^{\text {th }}\) terms be \(\frac{1}{9}\). Then \(6\left(a_2+a_4\right)\left(a_4+a_6\right)\) is equal to

[JEE Main 2023, 13 Apr (Shift 2)]

a

\(2 \sqrt{2}\)

b

2

c

\(3 \sqrt{3}\)

d

3

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