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Binomial Theorem question

2022 · 25 Jun · Shift 2 · Q40

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PYQ Library
JEE Main
Mathematics
Binomial Theorem
2022 · 25 Jun · Shift 2 · Q40

Binomial Theorem question

2022 · 25 Jun · Shift 2 · Q40

JEE MainMathematicsBinomial TheoremNumerical+4 / −1

If the sum of the co-efficient of all the positive even powers of x in the binomial expansion of

{\left( {2{x^3} + {3 \over x}} \right)^{10}}

is

{5^{10}} - \beta \,.\,{3^9}

, then

\beta

is equal to

\underline{\hspace{2cm}}

.

Numerical answer

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