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

Q1
PYQ

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

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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