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Binomial Theorem question

2021 · 25 Jul · Shift 2 · Q27
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  2. /JEE Main
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  5. /2021 · 25 Jul · Shift 2 · Q27

Binomial Theorem question

2021 · 25 Jul · Shift 2 · Q27

JEE MainMathematicsBinomial TheoremMCQ+4 / −1
If the greatest value of the term independent of 'x' in the expansion of (xsin⁡α+acos⁡αx)10{\left( {x\sin \alpha + a{{\cos \alpha } \over x}} \right)^{10}}(xsinα+axcosα​)10 is 10!(5!)2{{10!} \over {{{(5!)}^2}}}(5!)210!​, then the value of 'a' is equal to :
  1. A
    −-− 1
  2. B
    1
  3. C
    −-− 2
  4. D
    2
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