Let λ R. The system of linear equations 2x₁ - 4x₂ + λ x₃ = 1 x₁ - 6x₂ + x₃ = 2 λ x₁ - 10x₂ + 4x₃ = 3 is inconsistent for:

(B) exactly one negative value of λ

(A) exactly one positive value of λ

Matrices and Determinants: JEE Main 2020 Mathematics question

JEE Main 2020 · 5 Sep, Morning shift · Q4577

JEE Main 20205 Sep, Morning shiftMathematicsMediumMatrices and Determinants245× since 2002

Let

\lambda \in

R . The system of linear equations 2x₁ - 4x₂ +

\lambda

x₃ = 1 x₁ - 6x₂ + x₃ = 2

\lambda

x₁ - 10x₂ + 4x₃ = 3 is inconsistent for:

JEE Main 2020 · 5 Sep, Morning shift · Q4577

JEE Main 20205 Sep, Morning shiftMathematicsMediumMatrices and Determinants245× since 2002

Let

\lambda \in

R . The system of linear equations 2x₁ - 4x₂ +

\lambda

x₃ = 1 x₁ - 6x₂ + x₃ = 2

\lambda

x₁ - 10x₂ + 4x₃ = 3 is inconsistent for: