Mathematics · 2017
JEE Main · 9 April 2017, Shift 1 · Q65
If x= a, y= b, z= c is a solution of the system of linear equations x+8 y+7 z=0; 9 x+2 y+3 z=0; x+y+z=0 such that the point (a, b, c) lies on the…
If $\displaystyle x=\mathrm{a}, y=\mathrm{b}, z=\mathrm{c}$ is a solution of the system of linear equations
$$\begin{aligned}
& x+8 y+7 z=0 \\
& 9 x+2 y+3 z=0 \\
& x+y+z=0
\end{aligned}
$$
such that the point (a, b, c) lies on the plane $\displaystyle x+2 y+z=6$, then $\displaystyle 2 \mathrm{a}+\mathrm{b}+\mathrm{c}$ equals :
Official answer
(3)
$\displaystyle 1$
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JEE Main 2017 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.