The greatest value of the term independent of x in the expansion of (x sin α + x –1 cos…
Mathematics · JEE Advanced · NTA Exams — Binomial Theorem And Its Simple Applications
The greatest value of the term independent of x in the expansion of (x sin α + x–1 cos α)10, α ∈ R, is
- 25
- \(\frac{10!}{(5!)^{2}}\)
- \(\frac{10!}{2^{5} \times(5!)^{2}}\)
- none of these
Answer
(C) 10! 2^ 5 (5!)^ 2
Sign up free on Edukali to view the step-by-step worked solution and practice thousands of similar questions.
Related practice questions
- The greatest coefficent in the expansion of (1 + x) 2n is
- If rth and (r + 1)th term in the expansion of (1 + x) n are equal, then n =
- The number of terms in the expansion of (x^ 2 +1+ 1 x^ 2 )^ n , n ∈ N is.
- For r = 0, 1, ..., 10, let A r , B r and C r denote respectively, the coefficient of x r in the expansions of…
- The ratio of the coefficient of x 10 in (1-x 2 ) 10 and the term independent of x in (x- 2 x )^ 10 , is
- The number of distinct terms in the expansion of (x + y – z) 16 is
- The greatest term (numerically) in the expansion of (2 + 3x) 9 , when x= 3 2 , is
- For non-negative integers s and r , let s r = array ll s! r!(s-r)! & if r s, 0 & if r>s . array . For…
More Binomial Theorem And Its Simple Applications questions · Browse all practice questions