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 · 8 Apr · Shift 2 · Q45
Guest · try one question or challengeGuest · try one question or challenge
  1. PYQ Library
  2. /JEE Main
  3. /Mathematics
  4. /Binomial Theorem
  5. /2025 · 8 Apr · Shift 2 · Q45

Binomial Theorem question

2025 · 8 Apr · Shift 2 · Q45

JEE MainMathematicsBinomial TheoremMCQ+4 / −1
The number of integral terms in the expansion of (512+718)1016\left( {5^\frac{1}{2}} + 7^\frac{1}{8} \right)^{1016}(521​+781​)1016 is:
  1. A
    127
  2. B
    128
  3. C
    130
  4. D
    129
PreviousNext

More from Binomial Theorem

  • The product of the last two digits of (1919)1919 is2025 · Numerical
  • If ∑r=05​2r+211C2r+1​​=nm​,gcd(m,n)=1, then m−n is equal to ​.2025 · Numerical
  • Let α,β,γ and δ be the coefficients of x7,x5,x3 and x respectively in the expansion of ​(x+x3−1​)5+(x−x3−1​)5,x>1. If u and v satisfy the equations αu+βv=18,γu+δv=20,​…2025 · MCQ
  • If ∑r=130​30Cr−1​r2(30Cr​)2​=α×229, then α is equal to ​.2025 · Numerical
  • The sum of all rational terms in the expansion of (1+21/3+31/2)6 is equal to ​.2025 · Numerical
  • If in the expansion of (1+x)p(1−x)q, the coefficients of x and x2 are 1 and -2 , respectively, then p2+q2 is equal to :2025 · MCQ
  • For some neq10, let the coefficients of the 5 th, 6 th and 7 th terms in the binomial expansion of (1+x)n+4 be in A.P. Then the largest coefficient in the expansion of (1+x)n+4 is:2025 · MCQ
  • Suppose A and B are the coefficients of 30th  and 12th  terms respectively in the binomial expansion of (1+x)2n−1. If 2 A=5 B, then n is equal to:2025 · MCQ