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Matrices and Determinants question

2016 · Shift 2 · Q35
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  5. /2016 · Shift 2 · Q35

Matrices and Determinants question

2016 · Shift 2 · Q35

JEE AdvancedMathematicsMatrices and DeterminantsMultiple correct+4 / −2
Let a, λ\lambdaλ, m ∈\in∈ R. Consider the system of linear equations ax + 2y =λ\lambdaλ 3x −-− 2y =μ\muμ Which of the following statements is(are) correct?
  1. A
    If a = −-− 3, then the system has infinitely many solutions for all values of λ\lambdaλ and μ\muμ.
  2. B
    If a e−e-e− 3, then the system has a unique solution for all values of λ\lambdaλ and μ\muμ.
  3. C
    If λ\lambdaλ+μ\muμ= 0, then the system has infinitely many solutions for a =−-− 3.
  4. D
    If λ\lambdaλ+μe\mu eμe 0, then the system has no solution for a = -3.
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