If the coefficients of x⁷ in (ax² + 1/2bx)¹¹ and of x⁻⁷ in (ax -… | JEE Main 2023 Mathematics PYQ | Jeeify

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MCQMediumJEE Main 2023 · 6 April, Shift 2General Term

If the coefficients of $x^7$ in $\left(ax^2 + \frac{1}{2bx}\right)^{11}$ and of $x^{-7}$ in $\left(ax - \frac{1}{3bx^2}\right)^{11}$ are equal, then:

A
$64ab = 243$
B
$32ab = 729$
C
$729ab = 32$
D
$243ab = 64$

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