If `z_1,z_2,z_3` are the vertices of a triangle then its centroid is

If z_(1), z_(2),z_(3) represent the vertices of a triangle, then the centroid of the triangle is given by

If z_1,z_2,z_3 are the vertices of an equilateral triangle with z_0 as its circum centre, the changing origin to z_0 new vertices become z_1',z_2',z_3' show that z_1'^2+z_2'^2+z_3'^2=0

If z_(1),z_(2),z_(3) are the vertices of triangle such that |z_(1)-i|=|z_(2)-i|=|z_(3)-i| and z_(1)+z_(2)=3i-z_(3) then area of triangle is

lf z_1,z_2,z_3 are vertices of an equilateral triangle inscribed in the circle |z| = 2 and if z_1 = 1 + iotasqrt3 , then

if z_1, z_2, z_3 are the vertices pf an equilateral triangle inscribed in the circle absz=1 and z_1=i , then

If z_1 , z_2 ,z_3 are the vertices of an isosceles triangle right angled at z_2 , then prove that (z_1)^2+2(z_2)^2+(z_3)^2=2(z1+z3)z2

If z_(1) , z_(2) , z_(3) are the vertices of an equilateral triangle with centroid at z_0 show that z_(1)^(2) + z_(2)^(2) + z_(3)^(2) = 3 z_(0)^(2)

If z_(1),z_(2),z_(3) are the vertices of an equilateral triangle,then value of (z_(2)-z_(3))^(2)+(z_(3)-z_(1))^(2)+(z_(1)-z_(2))^(2)

z_(1),z_(2),z_(3) are the vertices of an equilateral triangle taken in counter clockwise direction. If its circumference is at the origin and z_(1)=1+i , then