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Matrices and Determinants question

2023 · 10 Apr · Shift 1 · Q34
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  5. /2023 · 10 Apr · Shift 1 · Q34

Matrices and Determinants question

2023 · 10 Apr · Shift 1 · Q34

JEE MainMathematicsMatrices and DeterminantsMCQ+4 / −1
For the system of linear equations 2x−y+3z=53x+2y−z=74x+5y+αz=β2x - y + 3z = 53x + 2y - z = 74x + 5y + \alpha z = \beta2x−y+3z=53x+2y−z=74x+5y+αz=β, which of the following is NOT correct?
  1. A
    The system has infinitely many solutions for α=−6\alpha=-6α=−6 and β=9\beta=9β=9
  2. B
    The system has a unique solution for αe−5\alpha e -5αe−5 and β=8\beta=8β=8
  3. C
    The system is inconsistent for α=−5\alpha=-5α=−5 and β=8\beta=8β=8
  4. D
    The system has infinitely many solutions for α=−5\alpha=-5α=−5 and β=9\beta=9β=9
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