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Mathematics
Mathematics
Problem
If
S
S
S
is the set of distinct values of '
b
b
b
' for which the following system of linear equations
x
+
y
+
z
=
1
x
+
a
y
+
z
=
1
a
x
+
b
y
+
z
=
0
\begin{aligned} x + y + z &= 1 \\ x + ay + z &= 1 \\ ax + by + z &= 0 \end{aligned}
x
+
y
+
z
x
+
a
y
+
z
a
x
+
b
y
+
z
=
1
=
1
=
0
has no solution, then
S
S
S
is a. an infinite set b. a finite set containing two or more elements c. a singleton d. an empty set
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