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The system of equations \(\begin{aligned}& x+y+z=6 \\& x+2 y+5 z=9 \\& x+5 y+\lambda z=\mu\end{aligned}\) has no solutio…

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The system of equations

\(\begin{aligned}& x+y+z=6 \\& x+2 y+5 z=9 \\& x+5 y+\lambda z=\mu\end{aligned}\)

has no solution if

[JEE Main 2025, 23 Jan (Shift 2)]

a

\(\lambda=17, \mu \neq 18\)

b

\(\lambda \neq 17, \mu \neq 18\)

c

\(\lambda=15, \mu \neq 17\)

d

\(\lambda=17, \mu=18\)

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