MathsJEE Main 2 Apr 2026, Shift 2·Q3·MCQ·Moderate

Matrices & Determinants · Consistency of linear equations

If the system of equations

\begin{align*} x + 5y + 6z &= 4,\\ 2x + 3y + 4z &= 7,\\ x + 6y + az &= b \end{align*}

has infinitely many solutions, then the point

(a, b)

lies on the line

(1) $y - x = 3$
(2) $x - y = 3$
(3) $x + y = 11$
(4) $x + y = 12$

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