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Mathematics · 2023

JEE Main · 31 January 2023, Shift 2 · Q90

The coefficient of x^-6, in the expansion of ((4 x)/5+5/(2 x^2))^9, is ____.

The coefficient of $\displaystyle x^{-6}$, in the expansion of $\displaystyle \left(\frac{4 x}{5}+\frac{5}{2 x^2}\right)^9$, is $\displaystyle \_\_\_\_$.
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JEE Main 2023 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.