JEE Main 2024 · MathsNumerical answerNumerical valueMediumMulti-step

JEE Main 9 April 2024, Shift 2, Maths Q22

Question 22 of 90 in this shift, Maths question 22 of 30, Section B.

Consider the matrices :

A=\begin{bmatrix}2&-5\\3&m\end{bmatrix},\ B=\begin{bmatrix}20\\m\end{bmatrix}

and

X=\begin{bmatrix}x\\y\end{bmatrix}

. Let the set of all

m

, for which the system of equations

AX=B

has a negative solution (i.e.,

x<0

and

y<0

), be the interval

(a, b)

. Then

8\int_a^b|A|\,dm

is equal to __________.

Official answer

450

NTA final key.

Chapter: Determinants
Topic: Cramer's Rule
Idea tested: Solving Column Vector Matrix Equations

Same topic in other shifts

All Cramer's Rule questions

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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.