For the system of equations x+y+z=6 x+2 y+\alpha z=10 x+3 y+5 z=\beta, which one of the following is NOT true : [6-Apr-2023 shift 2]

Correct Answer is : System has a unique solution for α=3,β≠14.

System has a unique solution for \alpha=3, \beta \neq 14.

System has a unique solution for \alpha=-3, \beta=14.

System has no solution for \alpha=3, \beta=24.

System has infinitely many solutions for \alpha=3, \beta=14.

JEE Mains 6-Apr-2023 Shift 2 Solved Paper

Section: Mathematics

Question : 3 of 90

Marks: +1, -0

For the system of equations
‌x+y+z=6
‌x+2y+αz=10
x+3y+5z=β, which one of the following is NOT true :

[6-Apr-2023 shift 2]

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