YESPYQ Start Practice
JEEMaths

If the system of linear equations : \(\begin{aligned}& x+y+2 z=6 \\& 2 x+3 y+a z=a+1 \\& -x-3 y+b z=2 b\end{aligned}\) w…

Q1
PYQ

If the system of linear equations :

\(\begin{aligned}& x+y+2 z=6 \\& 2 x+3 y+a z=a+1 \\& -x-3 y+b z=2 b\end{aligned}\)

where \(\mathrm{a}, \mathrm{b} \in {R}\), has infinitely many solutions, then \(7 a+3 b\) is equal to :

[JEE Main 2025, 22 Jan (Shift 2)]

a

9

b

12

c

16

d

22

🔒
Answer & explanation — PYQ Pass

Options are free to see. Unlock the correct answer and full explanation with Pass.

Unlock · ₹149
← Previous questionNext question →

Practice more JEE Maths PYQs

See every question on Matrices, or browse the full JEE question bank.

See all questions on Matrices →

More JEE Maths PYQs

MathsLet \(A=\left[\begin{matrix}2 & a & 0 \\ 1 & 3 & 1 \\ 0 & 5 & b\end{matrix}\right]\). If \…MathsIf the system of equations \(x+5y+6z=4\) \(2x+3y+4z=7\), \(x+6y+az=b\) has infinitely many…MathsIf for the system of linear equations having infinite solutions \(\begin{aligned}& (\lambd…MathsThe values of \(m, n\), for which the system of equations \(x+y+z=4,\\ 2x+5y+5z=17,\\ x+2y…MathsLet \(A=\left[{a}_{ij}\right]\) be a matrix of order \(3 \times 3\), with \(a_{i j}=(\sqrt…MathsConsider the system of linear equations \(x+y+z=5\), \(x+2 y+\lambda^2 z=9, x+3 y+\lambda …