Let \( z \) and \( w \) be two complex numbers such that \( |z| \le...

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Let \( z \) and \( w \) be two complex numbers such that \( |z| \leq 1 \), \( |w| \leq 1 \) and \( |z+i w|=|z-i \bar{w}|=2 \), then \( z \) equals
P
\( (1995,2 \mathrm{M}) \)
(a) 1 or \( i \)
(b) \( i \) or \( -i \)
W
(c) 1 or \( -1 \)
(d) \( i \) or \( -1 \)
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