It \( \mathrm{S} \) is the set of distinct values of ' \( b \) ' fo...

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It \( \mathrm{S} \) is the set of distinct values of ' \( b \) ' for which the following system of linear equations
\[
\begin{array}{l}
x+y+z=1 \\
x+a y+z=1 \\
a x+b y+z=0
\end{array}
\]
\( \mathrm{P} \)
W
has no solution, then \( S \) is :
(1) an empty set
(2) an infinite set
(3) a finite set containing two or more elements
(4) a singleton
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