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Let two distinct complex numbers z1 and ...

Let two distinct complex numbers `z_1 and z_2` both satisfy the equation `z+ bar(z) = 2 |z-1| and "arg" (z_1 -z_2)=(pi)/(4)`, then

A

`z_1 and z_2` lie on a parabola

B

Re `(z_1 + z_2)=2`

C

lm `(z_1 + z_2)=2`

D

no such `z_1 and z_2` exist

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The correct Answer is:
A, C
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