Mathematics · 2020
JEE Main · 2 September 2020, Shift 1 · Q55
Let S be the set of all λ ∈ R for which the system of linear equations 2 x-y+2 z=2; x-2 y+λ z=-4; x+λ y+z=4 has no solution. Then the set S
Let $\displaystyle S$ be the set of all $\displaystyle \lambda \in \mathbf{R}$ for which the system of linear equations
$$\begin{aligned}
& 2 x-y+2 z=2 \\
& x-2 y+\lambda z=-4 \\
& x+\lambda y+z=4
\end{aligned}
$$
has no solution. Then the set $\displaystyle S$
Official answer
(3)
contains exactly two elements.
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JEE Main 2020 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.