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Binomial Theorem question

2023 · 13 Apr · Shift 1 · Q44

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PYQ Library
JEE Main
Mathematics
Binomial Theorem
2023 · 13 Apr · Shift 1 · Q44

Binomial Theorem question

2023 · 13 Apr · Shift 1 · Q44

JEE MainMathematicsBinomial TheoremNumerical+4 / −1

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

\underline{\hspace{2cm}}

.

Numerical answer

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