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Mathematics
Problem
Consider the system of equations:
x
+
a
y
=
0
x + ay = 0
x
+
a
y
=
0
,
y
+
a
z
=
0
y + az = 0
y
+
a
z
=
0
and
z
+
a
x
=
0
z + ax = 0
z
+
a
x
=
0
. Then the set of all real values of 'a' for which the system has a unique solution is : [JEE-MAIN ONLINE-2013] (1)
{
1
,
−
1
}
\{1, -1\}
{
1
,
−
1
}
(2)
R
−
{
−
1
}
\mathbb{R} - \{-1\}
R
−
{
−
1
}
(3)
{
1
,
0
,
−
1
}
\{1, 0, -1\}
{
1
,
0
,
−
1
}
(4)
R
−
{
1
}
\mathbb{R} - \{1\}
R
−
{
1
}
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