Mathematics · 2019
JEE Main · 12 January 2019, Shift 2 · Q65
The set of all values of λ for which the system of linear equations x-2 y-2 z=λ x; x+2 y+z=λ y; -x-y=λ z has a non-trivial solution:
The set of all values of $\displaystyle \lambda$ for which the system of linear equations
$$\begin{aligned}
& x-2 y-2 z=\lambda x \\
& x+2 y+z=\lambda y \\
& -x-y=\lambda z
\end{aligned}
$$
has a non-trivial solution :
Official answer
(1)
is a singleton
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JEE Main 2019 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.