Doubts
Sign in
12thPass logo
New chatPYQ LibraryDoubtsRank report
Sign in to see Recents
Sign in to save progress →
Doubts
Sign in

Binomial Theorem question

2025 · 2 Apr · Shift 1 · Q44
Guest · try one question or challengeGuest · try one question or challenge
  1. PYQ Library
  2. /JEE Main
  3. /Mathematics
  4. /Binomial Theorem
  5. /2025 · 2 Apr · Shift 1 · Q44

Binomial Theorem question

2025 · 2 Apr · Shift 1 · Q44

JEE MainMathematicsBinomial TheoremMCQ+4 / −1
The term independent of xxx in the expansion of ((x+1)(x2/3+1−x1/3)−(x−1)(x−x1/2))10,x>1\left(\frac{(x+1)}{\left(x^{2 / 3}+1-x^{1 / 3}\right)}-\frac{(x-1)}{\left(x-x^{1 / 2}\right)}\right)^{10}, x\gt 1((x2/3+1−x1/3)(x+1)​−(x−x1/2)(x−1)​)10,x>1, is :
  1. A
    240
  2. B
    120
  3. C
    150
  4. D
    210
PreviousNext

More from Binomial Theorem

  • Ifr=0∑10​(10r10r+1−1​).11Cr+1​=1010α​11−1111​,thenαisequalto:2025 · MCQ
  • The sum of all rational terms in the expansion of (2+3​)8 is :2025 · MCQ
  • If r=1∑9​(2rr+3​)⋅9Cr​=α(23​)9−β,α,β∈N, then (α+β)2 is equal to2025 · MCQ
  • Let (1+x+x2)10=a0​+a1​x+a2​x2+…+a20​x20. If (a1​+a3​+a5​+…+a19​)−11a2​=121k, then k is equal to ​ .2025 · Numerical
  • For an integer n≥2, if the arithmetic mean of all coefficients in the binomial expansion of (x+y)2n−3 is 16 , then the distance of the point P(2n−1,n2−4n) from the line x+y=8 is2025 · MCQ
  • In the expansion of (32​+33​1​)n,n∈ N, if the ratio of 15th  term from the beginning to the 15th  term from the end is 61​, then the value of nC3​…2025 · MCQ
  • If 12⋅(15C1​)+22⋅(15C2​)+32⋅(15C3​)+…+152⋅(15C15​)=2m⋅3n⋅5k, where m,n,k∈N, then m+n+k…2025 · MCQ
  • The remainder when ((64)(64))(64) is divided by 7 is equal to2025 · MCQ