Mathematics · 2017
JEE Main · 8 April 2017, Shift 1 · Q64
The number of real values of λ for which the system of linear equations 2 x+4 y-λ z=0; 4 x+λ y+2 z=0; λ x+2 y+2 z=0 has infinitely many solutions, is:
The number of real values of $\displaystyle \lambda$ for which the system of linear equations
$$\begin{aligned}
& 2 x+4 y-\lambda z=0 \\
& 4 x+\lambda y+2 z=0 \\
& \lambda x+2 y+2 z=0
\end{aligned}
$$
has infinitely many solutions, is :
Official answer
(2)
$\displaystyle 1$
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JEE Main 2017 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.