MathsJEE Main 21 Jan 2026, Shift 2·Q18·MCQ·Easy–moderate

Matrices & Determinants · Consistency of linear equations

If the system of equations

\begin{align*} 3x + y + 4z &= 3\\ 2x + \alpha y - z &= -3\\ x + 2y + z &= 4 \end{align*}

has no solution, then the value of

\alpha

is equal to:

We corrected a printing error in the original paper

Source printed the third equation as “ $X + 2y + z = 4$ ” (capital $X$ for $x$ ).

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