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Let z1,z2 and z3 be three distinct compl...

Let `z_1,z_2` and `z_3` be three distinct complex numbers , satisfying `|z_1|=|z_2|=|z_3|=1`. Which of the following is/are true :

A

If arg`(z_1/z_2)=pi/2` then arg `((z-z_1)/(z-z_2)) gt pi/4` where | z| gt 1

B

`|z_1z_2+z_2z_3 + z_3z_1|=|z_1+z_2+z_3|`

C

`lim(((z_1+z_2)(z_2+z_3)(z_3+z_1))/(z_1.z_2.z_3))=0`

D

If `|z_1-z_2|=sqrt2|z_1-z_3|=sqrt2| z_2-z_3|`, then Re `((z_3-z_1)/(z_3-z_2))` = 0

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The correct Answer is:
B, C, D
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