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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 …

Q1
PYQ

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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