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Mathematics
Mathematics
Problem
The number of complex numbers
z
z
z
such that
∣
z
−
1
∣
=
∣
z
+
1
∣
=
∣
z
−
i
∣
|z - 1| = |z + 1| = |z - i|
∣
z
−
1∣
=
∣
z
+
1∣
=
∣
z
−
i
∣
, where
i
=
−
1
i = \sqrt{-1}
i
=
−
1
, equals to a.
1
1
1
b.
2
2
2
c.
∞
\infty
∞
d.
0
0
0
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