Mathematics · 2021
JEE Main · 24 February 2021, Shift 1 · Q63
The system of linear equations 3 x-2 y- k z=10; 2 x-4 y-2 z=6; x+2 y-z=5 m is inconsistent if:
The system of linear equations
$$\begin{aligned}
& 3 x-2 y-\mathrm{k} z=10 \\
& 2 x-4 y-2 z=6 \\
& x+2 y-z=5 \mathrm{~m}
\end{aligned}
$$
is inconsistent if :
Official answer
(3)
$\displaystyle k=3, m \neq \frac{4}{5}$
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JEE Main 2021 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.