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

[JEE Main 2021, 25 Jul (Shift 2)]

Question

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

[JEE Main 2021, 25 Jul (Shift 2)]

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If the greatest value of the term independent of ‘x’ in the expansion of \({\left(x\sin \alpha +a\frac{\cos \alpha }{x}\…

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