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Mathematics · 2022

JEE Main · 29 July 2022, Shift 1 · Q25

Let the ratio of the fifth term from the beginning to the fifth term from the end in the binomial expansion of (√[4] 2 +1/(√[4] 3))^n, in the…

Let the ratio of the fifth term from the beginning to the fifth term from the end in the binomial expansion of $\displaystyle \left(\sqrt[4]{2}+\frac{1}{\sqrt[4]{3}}\right)^{\mathrm{n}}$, in the increasing powers of $\displaystyle \frac{1}{\sqrt[4]{3}}$ be $\displaystyle \sqrt[4]{6}: 1$. If the sixth term from the beginning is $\displaystyle \frac{\alpha}{\sqrt[4]{3}}$, then $\displaystyle \alpha$ is equal to \_\_\_\_.
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JEE Main 2022 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.