If z_1 and z_2 are two complex numbers satisfying the equation |z_1+z_2/z_1-z_2|=1, then z_1/z_2 ...

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If z_1 and z_2 are two complex numbers satisfying the equation |z_1+z_2/z_1-z_2|=1, then z_1/z_2 is a number which is
(1) Positive real
(2) Negative real
(3) Zero or purely imaginary
(4) Both (1) and (2)

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