If `z_1,z_2` are two complex numbers representing two consecutive vertices of a square then what is the complex number represented by the centre of the square ?

z_1,z_2 are represented by two consecutive vertices of a rhombus, the angle at z_1 being pi/4 . Find the complex numbers z_3,z_4 represented by the other vertices, the vertices z_1,z_2,z_3,z_4 being in the anticlockwise sense and origin being the center.

A square planar complex represented as:

If P(z_(1)),Q(z_(2)),R(z_(3)) " and " S(z_(4)) are four complex numbers representing the vertices of a rhombus taken in order on the complex plane, which one of the following is held good?

If the complex numbers iz,z and z+iz represent the three vertices of a triangle,then the area of the triangle is