JEE Main 2024 Mathematics question
Let the system of equations x + 2y + 3z = 5, 2x + 3y + z = 9, 4x + 3y + λz = μ have infinite number of solutions. Then λ + 2μ is equal to:
Answer: (D)
Solution
Row 3 = −6(row 1) + 5(row 2) gives λ = −13 and μ = −30 + 45 = 15; λ + 2μ = 17.