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

2024 · 27 Jan · Shift 1 · Q45
Guest · try one question or challengeGuest · try one question or challenge
  1. PYQ Library
  2. /JEE Main
  3. /Mathematics
  4. /Binomial Theorem
  5. /2024 · 27 Jan · Shift 1 · Q45

Binomial Theorem question

2024 · 27 Jan · Shift 1 · Q45

JEE MainMathematicsBinomial TheoremMCQ+4 / −1
n−1Cr=(k2−8)nCr+1{ }^{n-1} C_r=\left(k^2-8\right){ }^n C_{r+1}n−1Cr​=(k2−8)nCr+1​ if and only if :
  1. A
    22<k<232 \sqrt{2}\lt \mathrm{k}\lt 2 \sqrt{3}22​<k<23​
  2. B
    22<k≤32 \sqrt{2}\lt \mathrm{k} \leq 322​<k≤3
  3. C
    23<k<332 \sqrt{3}\lt \mathrm{k}\lt 3 \sqrt{3}23​<k<33​
  4. D
    23<k≤322 \sqrt{3}\lt \mathrm{k} \leq 3 \sqrt{2}23​<k≤32​
PreviousNext

More from Binomial Theorem

  • If A denotes the sum of all the coefficients in the expansion of (1−3x+10x2)n and B denotes the sum of all the coefficients in the expansion of (1+x2)n, then :2024 · MCQ
  • The coefficient of x2012 in the expansion of (1−x)2008(1+x+x2)2007 is equal to ​.2024 · Numerical
  •  If 211C1​​+311C2​​+…+1011C9​​=mn​ with gcd(n,m)=1, then n+m is equal to  ​.2024 · Numerical
  • Remainder when 643232 is divided by 9 is equal to ​.2024 · Numerical
  •  Number of integral terms in the expansion of {7(21​)+11(61​)}824 is equal to ​. 2024 · Numerical
  • Suppose 2−p,p,2−α,α are the coefficients of four consecutive terms in the expansion of (1+x)n. Then the value of p2−α2+6α+2p equals2024 · MCQ
  • Let α=∑k=0n​(k+1(nCk​)2​) and β=∑k=0n−1​(k+2nCk​nCk+1​​) If 5α=6β, then n equals ​.2024 · Numerical
  • Let a be the sum of all coefficients in the expansion of (1−2x+2x2)2023(3−4x2+2x3)2024 and b=limx→0​(x2∫0x​t2024+1log(1+t)​dt​). If the…2024 · MCQ