Offline paper
Mathematics · 2015
JEE Main 2015 · 2015-04-04 Offline · Q65
The set of all values of λ for which the system of linear equations: 2 x_1-2 x_2+x_3=λ x_1; 2 x_1-3 x_2+2 x_3=λ x_2; -x_1+2 x_2=λ x_3 has a…
The set of all values of $\displaystyle \lambda$ for which the system of linear equations :
$$\begin{aligned}
& 2 x_1-2 x_2+x_3=\lambda x_1 \\
& 2 x_1-3 x_2+2 x_3=\lambda x_2 \\
& -x_1+2 x_2=\lambda x_3
\end{aligned}
$$
has a non-trivial solution,
Official answer
(3)
contains two elements.
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JEE Main 2015 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.