Complex NumbersHard

Question

The equation |z - 1|2 + |z + 1|2 = 2 represents

Options

A.a circle of radius ′1′
B.a straight line
C.the ordered pair (0, 0)
D.none of these

Solution

|z - 1|2 + |z + 1|2 = 2

⇒
⇒  z = 0

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