If the greatest value of the term independent of 'x' in the expansion of … is …, then the value of 'a' is equal to :

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Binomial Theorem

JEE Main 2021 · 25 Jul, Evening shift · Q2934

MathematicsMedium64×since 2002Q2934

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

MathematicsMedium64×since 2002Q2934

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 :