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Matrices and Determinants question

2022 · 24 Jun · Shift 2 · Q24
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Matrices and Determinants question

2022 · 24 Jun · Shift 2 · Q24

JEE MainMathematicsMatrices and DeterminantsMCQ+4 / −1
Let the system of linear equations x + y + α\alphaα z = 2 3x + y + z = 4 x + 2z = 1 have a unique solution (x ∗^ *∗, y ∗^ *∗, z ∗^ *∗). If (α\alphaα, x ∗^ *∗), (y ∗^ *∗, α\alphaα) and (x ∗^ *∗, −-− y ∗^ *∗) are collinear points, then the sum of absolute values of all possible values of α\alphaα is
  1. A
    4
  2. B
    3
  3. C
    2
  4. D
    1
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