JEE Main 2025 Mathematics question

MathematicsMatricesJEE Main 2025

If the system of equations 2x – y + z = 4 5x + λy + 3z = 12 100x – 47y + μz = 212, has infinitely many solutions, then μ – 2λ is equal to

Answer: (4)

Solution

Setting and gives , and substituting back gives , so .

Question ID VK-001987