If the system of equations x + 2y + 3z = 3 … (i) 4x + 3y - 4z = 4… | JEE Main 2023 Mathematics PYQ

MCQMediumJEE Main 2023 · 24 January, Shift 2Solving Linear Equations (Matrix Method)

If the system of equations $x + 2y + 3z = 3 \quad \cdots (i)$ $4x + 3y - 4z = 4 \quad \cdots (ii)$ $8x + 4y - \lambda z = 9 + \mu \quad \cdots (iii)$ has infinitely many solutions, then the ordered pair $(\lambda, \mu)$ is equal to:

A
$\left(\frac{72}{5}, \frac{21}{5}\right)$
B
$\left(\frac{-72}{5}, \frac{-21}{5}\right)$
C
$\left(\frac{72}{5}, \frac{-21}{5}\right)$
D
$\left(\frac{-72}{5}, \frac{21}{5}\right)$

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