JEE Main 2022 · MathsMultiple choiceSingle correctMediumMulti-step

JEE Main 30 July 2022, Shift 2, Maths Q64

Question 64 of 90 in this shift, Maths question 4 of 30, Section A.

Let

A

be a matrix and

\begin{bmatrix}1&2\\0&1\end{bmatrix} A \begin{bmatrix}2&0\\-1&1\end{bmatrix} = \begin{bmatrix}1&0\\0&1\end{bmatrix}

. If

|A|

and

|A^2|

are the roots of the quadratic equation

ax^2 + bx + 3 = 0

, then

a + b - ab

is equal to

(1) $-34$
(2) $50$
(3) $-390$
(4) $438$ Official answer

Official answer

Option 4

NTA final key.

Chapter: Matrices
Topic: Matrix Inverse
Idea tested: Solving Matrix Equations

Same idea in other shifts

Asked 3× in all

2 Apr 2026, Shift 2 · Q22Consider the matrices $A = \begin{bmatrix} 2 & -2 \\ 4 & -2 \end{bmatrix}$ and $B = \begin{bmatrix} -3 & 9 \\ 1 & 3 \end{bmatrix}$ . If…MediumNumerical value
5 Apr 2026, Shift 2 · Q4Let M be a $3\times 3$ matrix such that $M\begin{pmatrix}1\\0\\0\end{pmatrix}=\begin{pmatrix}1\\2\\3\end{pmatrix}$ ,…MediumSingle 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 108 of the 174 JEE Main shifts held from 2017 to 2026.