If is the set of distinct values of ' ' for which the following system of linear…

MATHEMATICS · Single correct · CBSE · Mathematics · Pair of Linear Equations in Two Variables · Pair of Linear Equations in Two Variables

Problem

S

is the set of distinct values of '

b

' for which the following system of linear equations

\begin{aligned} x + y + z &= 1 \\ x + ay + z &= 1 \\ ax + by + z &= 0 \end{aligned}

has no solution, then

S

is (1) an infinite set (2) a finite set containing two or more elements (3) a singleton (4) an empty set