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

Option C. Given system of equations

Matrices and Determinants

JEE Main 2022 · 24 Jun, Evening shift · Q4609

MathematicsMedium244×since 2002Q4609

Let the system of linear equations x + y +

\alpha

z = 2 3x + y + z = 4 x + 2z = 1 have a unique solution (x

^ *

, y

^ *

, z

^ *

). If (

\alpha

, x

^ *

), (y

^ *

\alpha

) and (x

^ *

-

^ *

) are collinear points, then the sum of absolute values of all possible values of

\alpha