Offline paper
Mathematics · 2016
JEE Main 2016 · 2016-04-03 Offline · Q65
The system of linear equations x+λ y-z=0; λ x-y-z=0; x+y-λ z=0 has a non-trivial solution for:
The system of linear equations
$$\begin{aligned}
& x+\lambda y-z=0 \\
& \lambda x-y-z=0 \\
& x+y-\lambda z=0
\end{aligned}
$$
has a non-trivial solution for :
Official answer
(4)
exactly three values of $\displaystyle \lambda$.
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JEE Main 2016 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.