The greatest value of the term independent of x, as α varies over R, in the expansion of…

Mathematics · JEE Main · NTA ExamsBinomial Theorem And Its Simple Applications

The greatest value of the term independent of x, as α varies over R, in the expansion of \(\left(x \cos \alpha+\frac{\sin \alpha}{x}\right)^{20}\) is :
  1. 20C10
  2. 20C19
  3. 20C6
  4. 20C10\(\left(\frac{1}{2}\right)^{10}\)

Answer

(D) 20 C 10 ( 1 2 )^ 10

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