Let λ∈R, the system of linear equations... | Determinants | JEE Main 2020

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JEE MAIN 2020

05-09-2020 S1

Question

Let $\lambda \in \mathrm{R}$. The system of linear equations $$ \begin{aligned} & 2 x_1-4 x_2+\lambda x_3=1 \\ & x_1-6 x_2+x_3=2 \\ & \lambda x_1-10 x_2+4 x_3=3 \end{aligned} $$ is inconsistent for:

Select the correct option:

A

exactly two values of $\lambda$

B

exactly one positive value of $\lambda$

C

every value of $\lambda$

D

exactly one negative value of $\lambda$.

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

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