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Friday, 9 October

JEE Main Maths · Binomial Theorem

Maximum Binomial Coefficient

Maximum Binomial Coefficient (Binomial Theorem) was asked 3 times in 3 JEE Main shifts, 2020–2026, out of the 42 shifts Lumi analysed. 1 of the 3 had a numerical answer.

Times asked
3
in 3 shifts
Years
2020–2026
Usual format
Single correct
Application
Pattern
Frequent
repeats across shifts

How it is asked

  • Equate middle term coefficients of two expansions
  • Maximum term independent of variable in expansion

Difficulty

Easy 2Medium 0Hard 1

Where it sits

Chapter: Binomial Theorem. Topic: Binomial Coefficients, 26 questions over 18 ideas.

Other repeat ideas in this topic

Every time it came

All 3 questions

Newest first, each with its options and official answer.

  1. 6 Apr 2026, Shift 1 · Q8If the coefficients of the middle terms in the binomial expansions of (1+αx)26(1+\alpha x)^{26} and (1−αx)28(1-\alpha x)^{28}, α≠0\alpha\neq 0, are…EasySingle correct
  2. 25 Jul 2022, Shift 1 · Q23If the maximum value of the term independent of tt in the expansion of…HardNumerical value
  3. 8 Jan 2020, Shift 1 · Q55If a, b and c are the greatest values of 19Cp^{19}C_p, 20Cq^{20}C_q and 21Cr^{21}C_r respectively, then :EasySingle correct