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Friday, 9 October

JEE Main 2026 · MathsMultiple choiceSingle correctEasyCalculation

JEE Main 6 April 2026, Shift 1, Maths Q8

Question 8 of 75 in this shift, Maths question 8 of 25, Section A.

If 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 equal, then the value of α\alpha is:
  1. (1)1
  2. (2)1413\frac{14}{13}
  3. (3)277\frac{27}{7}
  4. (4)727\frac{7}{27}Official answer

Official answer

Option 4

NTA final key.

Chapter
Binomial Theorem
Topic
Binomial Coefficients
Idea tested
Maximum Binomial Coefficient

Same idea in other shifts

Asked 3× in all
  1. 25 Jul 2022, Shift 1 · Q23If the maximum value of the term independent of tt in the expansion of…HardNumerical value
  2. 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

Question text from the official JEE Main paper published by NTA; answer from the final answer key. Chapter, topic and idea tags, difficulty and skill are Lumi’s. Lumi analyses 42 of the 174 JEE Main shifts held from 2017 to 2026.