If the coefficient of x⁹ in ( α x³ + 1/(β x))¹¹ and the coefficie… | JEE Main 2023 Mathematics PYQ

MCQMediumJEE Main 2023 · 29 January, Shift 1General Term

If the coefficient of $x^9$ in $\left( \alpha x^3 + \frac{1}{\beta x} \right)^{11}$ and the coefficient of $x^{-9}$ in $\left( \alpha x - \frac{1}{\beta x^3} \right)^{11}$ are equal, then $(\alpha\beta)^2$ is equal to:

A
$1$
B
$4$
C
$9$
D
$16$

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