Let the system of linear equations x+y+\alpha z=2 3 x+y+z=4 x+2 z=1 have a unique solution ( {\x}^*, {\y}^*, {\z}^*). If (\alpha, {\x}^*),( {\y}^*, \alpha) and ( {\x}^*,- {\y}^*) are collinear points, then the sum of absolute values of all possible values of \alpha is [24-Jun-2022-Shift-2]

JEE Main 24 June 2022 Shift 2 Solved Paper

Section: Mathematics

Question : 3 of 90

Marks: +1, -0

Let the system of linear equations
x+y+αz=2
3x+y+z=4
x+2z=1
have a unique solution (x*,y*,z*). If (α,x*),(y*,α) and (x*,−y*) are collinear points, then the sum of absolute values of all possible values of α is

[24-Jun-2022-Shift-2]

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α	1	1
1	α	1
1	−1	1