Find the relation if `z_1, z_2, z_3, z_4` are the affixes of the vertices of a parallelogram taken in order.

The points z_1, z_2, z_3, z_4 in the complex plane form the vertices of a parallelogram iff :

The points, z_1,z_2,z_3,z_4, in the complex plane are the vartices of a parallelogram taken in order, if and only if (a)z_1+z_4=z_2+z_3 (b)z_1+z_3=z_2+z_4 (c)z_1+z_2=z_3+z_4 (d) None of these

The point z_(1),z_(2),z_(3),z_(4) in the complex plane are the vertices of a parallogram taken in order, if and only if. (1) z _(1) +z_(4)=z_(2)+z_(3) (2) z_(1)+z_(3) =z_(2) +z_(4) (3) z_(1)+z_(2) =z_(3)+z_(4) (4) z_(1) + z_(3) ne z_(2) +z_(4)

If z_(1),z_(2),z_(3),z_(4), represent the vertices of a rhombus taken in anticlockwise order,then

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