🛠️ JEE➗ Maths

If the system of equations \(\begin{aligned}& x+2 y+3 z=3 \\& 4 x+3 y-4 z=4 \\& 8 x+4 y-\lambda z=9+\mu\end{…

Q1

If the system of equations
\(\begin{aligned}& x+2 y+3 z=3 \\& 4 x+3 y-4 z=4 \\& 8 x+4 y-\lambda z=9+\mu\end{aligned}\)
has infinitely many solutions, then the ordered pair \((\lambda, \mu)\) is equal to

[JEE Main 2023, 24 Jan (Shift 2)]

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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