JEE Main 2025 Mathematics question

MathematicsDeterminantsJEE Main 2025

If the system of equations 2x + λy + 3z = 5 3x + 2y – z = 7 4x + 5y + μz = 9 has infinitely many solutions, then is equal to :

Answer: (3)

Solution

For infinite solutions, all determinants must vanish, giving , , so .

Question ID VK-002435