JEE Main 2024 Mathematics question
Let λ, μ ∈ ℝ. If the system of equations 3x + 5y + λz = 3, 7x + 11y − 9z = 2, 97x + 155y − 189z = μ has infinitely many solutions, then μ + 2λ is equal to
Answer: (A)
Solution
Since the first two equations are independent, for infinitely many solutions the third equation must be a linear combination of them: 97x + 155y − 189z = a(3x + 5y + λz) + b(7x + 11y − 9z). Comparing the
See the full step-by-step solution
Create a free account to read the complete working, and practise questions like this in a timed test.
Create a free account