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Matrices and Determinants question

2021 · 27 Aug · Shift 2 · Q28
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Matrices and Determinants question

2021 · 27 Aug · Shift 2 · Q28

JEE MainMathematicsMatrices and DeterminantsMCQ+4 / −1
Let [λ\lambdaλ] be the greatest integer less than or equal to λ\lambdaλ. The set of all values of λ\lambdaλ for which the system of linear equations x + y + z = 4, 3x + 2y + 5z = 3, 9x + 4y + (28 + [λ\lambdaλ])z = [λ\lambdaλ] has a solution is :
  1. A
    R
  2. B
    (−∞-\infty−∞, −-− 9) ∪\cup∪ (−-− 9, ∞\infty∞)
  3. C
    [−-− 9, −-− 8)
  4. D
    (−∞-\infty−∞, −-− 9) ∪\cup∪ [−-− 8, ∞\infty∞)
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