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If the system of equations \(\begin{aligned}& x+2 y-3 z=2 \\& 2 x+\lambda y+5 z=5 \\& 14 x+3 y+\mu z=33\end{aligned}\) h…

Q1
PYQ

If the system of equations

\(\begin{aligned}& x+2 y-3 z=2 \\& 2 x+\lambda y+5 z=5 \\& 14 x+3 y+\mu z=33\end{aligned}\)

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

[JEE Main 2025, 24 Jan (Shift 2)]

a

13

b

11

c

12

d

10

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