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If the system of equations \[\begin{aligned}& x+y+z=2 \\& 2 x+4 y-z=6 \\& 3 x+2 y+\lambda z=\mu\end{aligned}\]has infini…

Q1
PYQ

If the system of equations
\[\begin{aligned}& x+y+z=2 \\& 2 x+4 y-z=6 \\& 3 x+2 y+\lambda z=\mu\end{aligned}\]has infinitely many solutions, then:

[JEE Main 2020, 4 Sep (Shift 2)]

a

\(\lambda+2 \mu=14\)

b

\(2 \lambda+\mu=14\)

c

\(2 \lambda-\mu=5\)

d

\(\lambda-2 \mu=-5\)

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