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Binomial Theorem question

2023 · 31 Jan · Shift 2 · Q44

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PYQ Library
JEE Main
Mathematics
Binomial Theorem
2023 · 31 Jan · Shift 2 · Q44

Binomial Theorem question

2023 · 31 Jan · Shift 2 · Q44

JEE MainMathematicsBinomial TheoremNumerical+4 / −1

If the constant term in the binomial expansion of

\left(\frac{x^{\frac{5}{2}}}{2}-\frac{4}{x^{l}}\right)^{9}

is

-84

and the coefficient of

x^{-3 l}

is

2^{\alpha} \beta

, where

\beta\lt 0

is an odd number, then

|\alpha l-\beta|

is equal to

\underline{\hspace{2cm}}

.

Numerical answer

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