Mathematics · 2021
JEE Main · 26 February 2021, Shift 2 · Q74
Consider the following system of equations: x+2 y-3 z= a; 2 x+6 y-11 z= b; x-2 y+7 z= c where a, b and c are real constants. Then the system of…
Consider the following system of equations :
$$\begin{aligned}
& x+2 y-3 z=\mathrm{a} \\
& 2 x+6 y-11 z=\mathrm{b} \\
& x-2 y+7 z=\mathrm{c}
\end{aligned}
$$
where $\displaystyle \mathrm{a}, \mathrm{b}$ and c are real constants. Then the system of equations :
Official answer
(3)
has infinite number of solutions when $\displaystyle 5 \mathrm{a}=2 \mathrm{~b}+\mathrm{c}$
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JEE Main 2021 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.