Mathematics · 2022
JEE Main · 26 July 2022, Shift 1 · Q3
If the system of linear equations. 8 x+y+4 z=-2; x+y+z=0; λ x-3 y=μ has infinitely many solutions, then the distance of the point (λ, μ,-1/2) from…
If the system of linear equations.
$$\begin{gathered}
8 x+y+4 z=-2 \\
x+y+z=0 \\
\lambda x-3 y=\mu
\end{gathered}
$$
has infinitely many solutions, then the distance of the point $\displaystyle \left(\lambda, \mu,-\frac{1}{2}\right)$ from the plane $\displaystyle 8 x+y+4 z+2=0$ is :
Official answer
(4)
$\displaystyle \frac{10}{3}$
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JEE Main 2022 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.