NVAMediumJEE Main 2023 · 31 January, Shift 2General Term

Mathematics Question from JEE Main 2023 · 31 January, Shift 2

If the constant term in the binomial expansion of (x5/224x)9\left( \frac{x^{5/2}}{2} - \frac{4}{x^{\ell}} \right)^9 is 84-84 and the coefficient of x3x^{-3\ell} is 2αβ2^{\alpha}\beta, where β<0\beta < 0 is an odd number, then αβ|\alpha\ell - \beta| is equal to:

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