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Let a, λ, μ ∈ R. Consider the system of linear equationsax + 2y = λ3x - 2y = μWhich of the following statement(s) is(are) correct?(A) If a = – 3, then the system has infinitely many solutions for all values of λ and μ(B) If a ≠ – 3, then the system has a unique solution for all values of λ and μ (C) If λ + μ = 0, then the system has infinitely many solutions for a = – 3 (D) If λ + μ ≠ 0, then the system has no solution for a = – 3 |
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Answer» (B) If a ≠ – 3, then the system has a unique solution for all values of λ and μ (C) If λ + μ = 0, then the system has infinitely many solutions for a = – 3 (D) If λ + μ ≠ 0, then the system has no solution for a = – 3 System has unique solution for a/3 ≠ 2/-2 system has infinitely many solutions for a/3 = 2/-2 = λ/μ and no solution for a/3 = 2/-2 ≠ λ/μ |
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