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Binomial Theorem question

2023 · 29 Jan · Shift 1 · Q44

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PYQ Library
JEE Main
Mathematics
Binomial Theorem
2023 · 29 Jan · Shift 1 · Q44

Binomial Theorem question

2023 · 29 Jan · Shift 1 · Q44

JEE MainMathematicsBinomial TheoremNumerical+4 / −1

If the co-efficient of

x^9

in

{\left( {\alpha {x^3} + {1 \over {\beta x}}} \right)^{11}}

and the co-efficient of

x^{-9}

in

{\left( {\alpha x - {1 \over {\beta {x^3}}}} \right)^{11}}

are equal, then

(\alpha\beta)^2

is equal to

\underline{\hspace{2cm}}

.

Numerical answer

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