1.

Let\[z\]and \[w\] be two complex numbers such that \[|z|\,\le 1,\] \[|w|\,\le 1\]and\[|z+iw|\,=\,|z-i\overline{w}|=2\]. Then \[z\] is equal to [IIT 1995]

A. 1 or \[i\]
B. \[i\] or \[-i\]
C. 1 or - 1
D. \[i\]or -1
Answer» D. \[i\]or -1


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