🛠️ JEE➗ Maths

The value of \(k \in R\), for which the following system of linear equations \( \begin{aligned} & 3 x-y+4 z=3 \\ &am…

Q1

The value of \(k \in R\), for which the following system of linear equations
\(
\begin{aligned}
& 3 x-y+4 z=3 \\
& x+2 y-3 z=-2 \\
& 6 x+5 y+k z=-3
\end{aligned}
\)
has infinitely many solutions, is :

[JEE Main 2021, 20 Jul (Shift 2)]

a

\(3\)

b

\(-3\)

c

\(-5\)

d

\(5\)

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