Consider the following system of questions \alpha x+2 y+z=1 2 \alpha x+3 y+z=1 3 x+\alpha y+2 z=\beta For some \alpha, \beta \in \mathbb{R}. Then which of the following is NOT correct. [29-Jan-2023 Shift 1]

Correct Answer is : It has no solution for α=−1 and for all β∈ℝ

It has no solution if \alpha=-1 and \beta \neq 2

It has no solution for \alpha=-1 and for all \beta \in \mathbb{R}

It has no solution for \alpha=3 and for all \beta \neq 2

It has a solution for all \alpha \neq-1 and \beta=2

JEE Mains 29-Jan-2023 Shift 1 Solved Paper

Section: Mathematics

Question : 65 of 90

Marks: +1, -0

Consider the following system of questions
‌αx+2y+z=1
‌2αx+3y+z=1
‌3x+αy+2z=β
For some α,β∈ℝ. Then which of the following is NOT correct.

[29-Jan-2023 Shift 1]

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