Let `z_(1)` and `z_(2)` be two distinct complex numbers and `z=(1-t)z_(1)+tz_(2)`, for some real number t with `0 lt t lt 1` and `i=sqrt(-1)`. 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),bar(z)-bar(z)_(1)),(z_(2)-z_(1),bar(z)_(2)-bar(z)_(1)):}|=0`
d. `arg(z-z_(1))=arg(z_(2)-z_(1))`

Options

A. `|z-z_1|+|z-z_2 |=|z_1-z_2|`
B. `Arg|z-z_1|= Arg|z-z_2|`
C. `|(z-z_1,bar z- bar z_1),(z_2-z_1, bar z_2- bar z_1)|=0`
D. `Arg(z-z_1)= Arg(z_2-z_1)`.