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Binomial Theorem

JEE Main 2023 (Online) 13th April Morning Shift

INTEGER+4 / -12023

Let \(\alpha\) be the constant term in the binomial expansion of \(\left(\sqrt{x}-\frac{6}{x^{\frac{3}{2}}}\right)^{n}, n \leq 15\). If the sum of the coefficients of the remaining terms in the expansion is 649 and the coefficient of \(x^{-n}\) is \(\lambda \alpha\), then \(\lambda\) is equal to _____________.

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