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The following system of linear equations. \( \begin{aligned} & 2 x+3 y+2 z=9 \\ & 3 x+2 y+2 z=9 \\ & x-y+4 z…

Q1

The following system of linear equations.
\(
\begin{aligned}
& 2 x+3 y+2 z=9 \\
& 3 x+2 y+2 z=9 \\
& x-y+4 z=8
\end{aligned}\)

[JEE Main 2021, 25 Feb (Shift 2)]

a

has a unique solution

b

has a solution \((\alpha, \beta, \gamma)\) satisfying \(\alpha+\beta^2+\gamma^3=12\)

c

has infinitely many solutions

d

does not have any solution

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