Mathematics · 2020
JEE Main · 5 September 2020, Shift 1 · Q55
Let λ ∈ R. The system of linear equations 2 x_1-4 x_2+λ x_3=1; x_1-6 x_2+x_3=2; λ x_1-10 x_2+4 x_3=3 is inconsistent for:
Let $\displaystyle \lambda \in \mathbf{R}$. The system of linear equations
$$\begin{aligned}
& 2 x_1-4 x_2+\lambda x_3=1 \\
& x_1-6 x_2+x_3=2 \\
& \lambda x_1-10 x_2+4 x_3=3
\end{aligned}
$$
is inconsistent for:
Official answer
(3)
exactly one negative value of $\displaystyle \lambda$.
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JEE Main 2020 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.