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If the following system of linear equations \(2 x+y+z=5\), \(x-y+z=3\) and \(x+y+a z=b\) has no solution, then: [JEE Mai…

Q1

If the following system of linear equations \(2 x+y+z=5\), \(x-y+z=3\) and \(x+y+a z=b\) has no solution, then:

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

a

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

b

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

c

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

d

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

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