🛠️ JEE➗ Maths

If the following system of linear equations \[ \begin{aligned} & 2 x+y+z=5 \\ & x-y+z=3 \\ & x+y+a z=b \end{…

Q1

If the following system of linear equations

\[ \begin{aligned} & 2 x+y+z=5 \\ & x-y+z=3 \\ & x+y+a z=b \end{aligned} \]

has no solution, then:

[JEE Main 2021, 31 Aug (Shift 1)]

a

\( \quad a \neq-\frac{1}{3}, b=\frac{7}{3} \)

b

\( \quad a \neq \frac{1}{3}, b=\frac{7}{3} \)

c

\( \quad a=\frac{1}{3}, b \neq \frac{7}{3} \)

d

\( a=-\frac{1}{3}, b \neq \frac{7}{3} \)

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