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Matrices and Determinants question

2021 · 1 Sep · Shift 2 · Q26
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Matrices and Determinants question

2021 · 1 Sep · Shift 2 · Q26

JEE MainMathematicsMatrices and DeterminantsMCQ+4 / −1
Consider the system of linear equations −-− x + y + 2z = 0 3x −-− ay + 5z = 1 2x −-− 2y −-− az = 7 Let S1 be the set of all a ∈\in∈ R for which the system is inconsistent and S2 be the set of all a ∈\in∈ R for which the system has infinitely many solutions. If n(S1) and n(S2) denote the number of elements in S1 and S2 respectively, then
  1. A
    n(S1) = 2, n(S2) = 2
  2. B
    n(S1) = 1, n(S2) = 0
  3. C
    n(S1) = 2, n(S2) = 0
  4. D
    n(S1) = 0, n(S2) = 2
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