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Matrices and Determinants question

2020 · 5 Sep · Shift 1 · Q28

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JEE Main
Mathematics
Matrices and Determinants
2020 · 5 Sep · Shift 1 · Q28

Matrices and Determinants question

2020 · 5 Sep · Shift 1 · Q28

JEE MainMathematicsMatrices and DeterminantsMCQ+4 / −1

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:

A
exactly one positive value of $\lambda$
B
exactly one negative value of $\lambda$
C
exactly two values of $\lambda$
D
every value of $\lambda$

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