🛠️ JEE➗ Maths

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{…

Q1

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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