Jee Main 2025 — Medium JEE math MCQ
\((\lambda - 1)x + (\lambda - 4)y + \lambda z = 5 \) If the system of equations \( \lambda x + (\lambda - 1)y + (\lambda - 4)z = 7 \) has infinitely many solutions, then \( \lambda^2 + \lambda \) is equal to \begin{align*}
- A. \ 6 & & \quad
- B. \ 10 \\
- C. \ 20 & & \quad
- D. \ 12 \end{align*}
Solution
The correct option is **D**. (D. \ 12 \end{align*})
