If `z_(1),z_(2)andz_(3)` are the affixes of the vertices of a triangle having its circumcentre at
Channel: Doubtnut
Date: 24/05/2020

If `z_(1),z_(2)andz_(3)` are the affixes of the vertices of a triangle having its circumcentre at the  origin. If zis the affix of its orthocentre, prove that  `Z_(1)+Z_(2)+Z_(3)-Z=0.`