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Binomial Theorem question

2022 · 29 Jul · Shift 1 · Q43

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JEE Main
Mathematics
Binomial Theorem
2022 · 29 Jul · Shift 1 · Q43

Binomial Theorem question

2022 · 29 Jul · Shift 1 · Q43

JEE MainMathematicsBinomial TheoremNumerical+4 / −1

Let the ratio of the fifth term from the beginning to the fifth term from the end in the binomial expansion of

\left(\sqrt[4]{2}+\frac{1}{\sqrt[4]{3}}\right)^{\mathrm{n}}

, in the increasing powers of

\frac{1}{\sqrt[4]{3}}

be

\sqrt[4]{6}: 1

. If the sixth term from the beginning is

\frac{\alpha}{\sqrt[4]{3}}

, then

\alpha

is equal to

\underline{\hspace{2cm}}

.

Numerical answer

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