Mathematics · 2019
JEE Main · 11 January 2019, Shift 1 · Q65
If the system of linear equations 2 x+2 y+3 z= a; 3 x-y+5 z= b; x-3 y+2 z= c where a, b, c are non-zero real numbers, has more than one solution,…
If the system of linear equations
$$\begin{aligned}
& 2 x+2 y+3 z=\mathrm{a} \\
& 3 x-y+5 z=\mathrm{b} \\
& x-3 y+2 z=\mathrm{c}
\end{aligned}
$$
where a, b, c are non-zero real numbers, has more than one solution, then :
Official answer
(3)
$\displaystyle b-c-a=0$
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JEE Main 2019 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.