JEE Main 2019 Mathematics question
If the system of equations x + y + z = 5, x + 2y + 3z = 9, x + 3y + αz = β has infinitely many solutions, then β − α equals:
Answer: (A)
Solution
Δ = α − 5 = 0 and consistency gives β = 13; β − α = 8.
If the system of equations x + y + z = 5, x + 2y + 3z = 9, x + 3y + αz = β has infinitely many solutions, then β − α equals:
Δ = α − 5 = 0 and consistency gives β = 13; β − α = 8.