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Friday, 9 October

JEE Main 2026 · MathsMultiple choiceSingle correctMediumMulti-step

JEE Main 6 April 2026, Shift 2, Maths Q17

Question 17 of 75 in this shift, Maths question 17 of 25, Section A.

Let A=[13−121α01−1]A=\begin{bmatrix}1&3&-1\\2&1&\alpha\\0&1&-1\end{bmatrix} be a singular matrix. Let f(x)=∫0x(t2+2t+3)dtf(x)=\int_0^x\left(t^2+2t+3\right)dt, x∈[1,α]x\in[1,\alpha]. If M and m are respectively the maximum and the minimum values of ff in [1,α][1,\alpha], then 3(M−m)3(M-m) is equal to :
  1. (1)64
  2. (2)68Official answer
  3. (3)72
  4. (4)76

Official answer

Option 2

NTA final key.

Chapter
Determinants
Topic
Matrix Inverse
Idea tested
Singular and Non-singular Matrices

Same idea in other shifts

Asked 2× in all
  1. 7 Apr 2025, Shift 1 · Q22The number of singular matrices of order 2, whose elements are from the set {2,3,6,9}\{2, 3, 6, 9\}, is ___________.MediumNumerical value

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.