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Let \(\lambda, \mu \in R\). If the system of equations \(\begin{aligned}& 3 x+5 y+\lambda z=3 \\& 7 x+11 y-9 z=2 \\& 97 …

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Let \(\lambda, \mu \in R\). If the system of equations
\(\begin{aligned}& 3 x+5 y+\lambda z=3 \\& 7 x+11 y-9 z=2 \\& 97 x+155 y-189 z=\mu\end{aligned}\)

has infinitely many solutions, then \(\mu+2 \lambda\) is equal to:

[JEE Main 2024, 9 Apr (Shift 1)]

a

27

b

24

c

25

d

22

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