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The system of linear equations \(\begin{aligned}& 3 x-2 y-k z=10 \\& 2 x-4 y-2 z=6 \\& x+2 y-z=5 m\end{aligned}\) is inc…

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The system of linear equations
\(\begin{aligned}& 3 x-2 y-k z=10 \\& 2 x-4 y-2 z=6 \\& x+2 y-z=5 m\end{aligned}\)

is inconsistent if

[JEE Main 2021, 24 Feb (Shift 1)]

a

\(k \neq 3, m \neq \frac{4}{5}\)

b

\(k=3, m \neq \frac{4}{5}\)

c

\(k \neq 3, m \in R\)

d

\(k=3, m=\frac{4}{5}\)

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