🛠️ JEE➗ Maths

Let \(\lambda \in R\). The system of linear equations \[\begin{aligned} & 2 x_1-4 x_2+\lambda x_3=1 \\ & x_1-6 x…

Q1

Let \(\lambda \in R\). 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

[JEE Main 2020, 5 Sep (Shift 1)]

a

Exactly two values of \(\lambda\)

b

Exactly one positive value of \(\lambda\)

c

Every value of \(\lambda\)

d

Exactly one negative value of \(\lambda\)

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