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Mathematics · 2021

JEE Main · 25 July 2021, Shift 2 · Q71

If the greatest value of the term independent of ' x ' in the expansion of (x sin α+a (cos α)/x)^10 is (10!)/((5!)^2), then the value of ' a ' is…

If the greatest value of the term independent of ' $\displaystyle x$ ' in the expansion of $\displaystyle \left(x \sin \alpha+a \frac{\cos \alpha}{x}\right)^{10}$ is $\displaystyle \frac{10!}{(5!)^2}$, then the value of ' a ' is equal to:
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