JEE Main 2019 Mathematics question
An ordered pair (α, β) for which the system of linear equations (1 + α)x + βy + z = 2, αx + (1 + β)y + z = 3, αx + βy + 2z = 2 has a unique solution, is:
Answer: (D)
Solution
Δ = α + β + 2 ≠ 0.
An ordered pair (α, β) for which the system of linear equations (1 + α)x + βy + z = 2, αx + (1 + β)y + z = 3, αx + βy + 2z = 2 has a unique solution, is:
Δ = α + β + 2 ≠ 0.