If z(1),z(2),z(3) are the affixes of the...

If `z_(1),z_(2),z_(3)` are the affixes of the vertices of a triangle having its circumcenter at the origin. If z is the affix of its orthocenter, then

`z_(1)+z_(2)+z_(3)-z=0`

`z_(1)-z_(2)+z_(3)+z=0`

`z_(1)+z_(2)-z_(3)+z=0`

`-z_(1)+z_(2)+z_(3)+z=0`

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