Consider the matrices : {\A}=\left[\begin{array}{cc}2 & -5 \ 3 & {\m\end{array}]}, {\B}=\left[\begin{array}{c}20 \ {\m\end{array}]} and X=\left[\begin{array}{c}x \ y]\end{array}. 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 ______. [9 Apr 2024 Shift 2]

JEE Main 9 Apr 2024 Shift 2 Solved Paper

Section: Mathematics

Question : 30 of 90

Marks: +1, -0

Consider the matrices : A=[

2	−5
3	m

],B=[

] and X=[

]. 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

∫

A|dm is equal to ______.

[9 Apr 2024 Shift 2]

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