🛠️ JEE➗ Maths

For the system of linear equations \(\begin{aligned}& 2 x+4 y+2 a z=b \\& x+2 y+3 z=4 \\& 2 x-5 y+2 z=8\end{…

Q1

For the system of linear equations
\(\begin{aligned}& 2 x+4 y+2 a z=b \\& x+2 y+3 z=4 \\& 2 x-5 y+2 z=8\end{aligned}\)
which of the following is NOT correct?

[JEE Main 2023, 13 Apr (Shift 1)]

a

It has infinitely many solutions if \(a=3, b=6\)

b

It has unique solution if \(a=b=6\)

c

It has unique solution if \(a=b=8\)

d

It has infinitely many solution if \(a=3, b=8\)

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