Mathematics · 2021
JEE Main · 3 August 2021, Shift 2 · Q65
For the system of linear of equations (k-3) x+y+z=0; x+(k-3) y+z=0; x+y+(k-3) z=0 the number of distinct values of k, for which it has a non-trivial…
For the system of linear of equations
$$\begin{aligned}
& (k-3) x+y+z=0 \\
& x+(k-3) y+z=0 \\
& x+y+(k-3) z=0
\end{aligned}
$$
the number of distinct values of $\displaystyle k$, for which it has a non-trivial solution, is
Official answer
(2)
$\displaystyle 2$
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JEE Main 2021 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.