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