Let z and w be two complex numbers such that | z | ≤ 1, | ω | ≤ 1 and | z + i ω | = | z – i | = 2 then z equals
(a) 1 or i
(b) i or – i
(c) 1 or – 1
(d) i or – 1
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seems to me that you nee d more information to limit the choices
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