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Let z1 and z2 be two distinct complex nu...

Let `z_1` and `z_2` be two distinct complex numbers and let `z= (1-t)z_1+tz_2` for some real number t with `0lttlt1`. If Arg(w) denotes the principal argument of a non-zero complex number w, then

A

`abs(z-z_1)+abs(z-z_2)=abs(z_1-z_2)`

B

`Arg(z-z_1)=arg(z-z_2)`

C

`[(z-z_1),(z_2-z_1)][(barz-barz_1),(barz_2-z_1)]`=0

D

`Arg(z-z_1)=arg(z_2-z_1)`

Text Solution

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The correct Answer is:
A, C, D
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