Let a , λ , μ ∈ R . Consider the system of linear equations a x + 2 y = λ and 3 x - 2 y = μ . Which of the following statement is INCORRECT?

Question

Let a , λ , μ ∈ R . Consider the system of linear equations a x + 2 y = λ and 3 x - 2 y = μ . Which of the following statement is INCORRECT?, If a = - 3 , then the system has infinitely many solutions for all values of λ and μ, If a ≠ - 3 , then the system has a unique solution for all values of λ and μ, If λ + μ = 0 , then the system has infinitely many solutions for a = - 3, If λ + μ ≠ 0 , then the system has no solution for a = - 3

MARKS App · Accepted Answer

a x + 2 y = λ 3 x - 2 y = μ For a = - 3 , above lines will be parallel or coincident Also parallel for λ + μ ≠ 0 and coincident λ + μ = 0 and if a ≠ - 3 , lines are intersecting ⇒ unique solution.

Search any question & find its solution

Looking for more such questions to practice?