JEE Main 2025 Mathematics question
If the system of equations (λ – 1)x + (λ – 4)y + λz = 5 λx + (λ – 1)y + (λ –4)z = 7 (λ + 1)x + (λ + 2)y – (λ + 2)z = 9 has infinitely many solutions, then is equal to
Answer: (2)
Solution
Setting D = 0 gives (λ-3)(2λ+1)=0 and gives λ=3, so .