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 equal to:

Binomial Theorem and Its Simple Applications: JEE Main 2021 Mathematics question

JEE Main 2021 · 25 Jul, Evening shift · Q2934

JEE Main 202125 Jul, Evening shiftMathematicsMediumBinomial Theorem and Its Simple Applications131× since 2002

If the greatest value of the term independent of 'x' in the expansion of

{\left( {x\sin \alpha + a{{\cos \alpha } \over x}} \right)^{10}}

{{10!} \over {{{(5!)}^2}}}

, then the value of 'a' is equal to :

JEE Main 2021 · 25 Jul, Evening shift · Q2934

JEE Main 202125 Jul, Evening shiftMathematicsMediumBinomial Theorem and Its Simple Applications131× since 2002

If the greatest value of the term independent of 'x' in the expansion of

{\left( {x\sin \alpha + a{{\cos \alpha } \over x}} \right)^{10}}

{{10!} \over {{{(5!)}^2}}}

, then the value of 'a' is equal to :