Mathematics · 2020
JEE Main · 9 January 2020, Shift 2 · Q55
The following system of linear equations 7 x+6 y-2 z=0; 3 x+4 y+2 z=0; x-2 y-6 z=0, has
The following system of linear equations
$$\begin{aligned}
& 7 x+6 y-2 z=0 \\
& 3 x+4 y+2 z=0 \\
& x-2 y-6 z=0 \text {, has }
\end{aligned}
$$
Official answer
(4)
infinitely many solutions, $\displaystyle (x, y, z)$
satisfying $\displaystyle x=2 z$.
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JEE Main 2020 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.