Mathematics · 2020
JEE Main · 8 January 2020, Shift 2 · Q55
The system of linear equations λ x+2 y+2 z=5; 2 λ x+3 y+5 z=8; 4 x+λ y+6 z=10 has:
The system of linear equations
$$\begin{aligned}
& \lambda x+2 y+2 z=5 \\
& 2 \lambda x+3 y+5 z=8 \\
& 4 x+\lambda y+6 z=10 \text { has : }
\end{aligned}
$$
Official answer
(4)
no solution when $\displaystyle \lambda=2$
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JEE Main 2020 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.