Complex needs to judged

Algebra Level 3

If z 1 z_1 and z 2 z_2 are two complex natural numbers such that

z 1 < 1 < z 2 , | z_1 | < 1 < | z_2 |,

then what can we say about the value of

1 z 1 z 2 ˉ z 2 z 2 \left | \frac{ 1 - z_1 \bar{ z_2} } { z_2 - z_2} \right|

(Calvin edit: It is not clear what "complex natural numbers" means. I believe that is should just be "complex numbers".)

equal to one none of these less than 1 more than 1

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