The vertices of a square are `z_1,z_2,z_3 and z_4` taken in the anticlockwise order, then `z_3=`

Statement -1 : if 1-i,1+i, z_(1) and z_(2) are the vertices of a square taken in order in the anti-clockwise sense then z_(1) " is " i-1 and Statement -2 : If the vertices are z_(1),z_(2),z_(3),z_(4) taken in order in the anti-clockwise sense,then z_(3) =iz_(1) + (1+i)z_(2)

Statement -1 : if 1-i,1+i, z_(1) and z_(2) are the vertices of a square taken in order in the anti-clockwise sense then z_(1) " is " i-1 and Statement -2 : If the vertices are z_(1),z_(2),z_(3),z_(4) taken in order in the anti-clockwise sense,then z_(3) =iz_(1) + (1+i)z_(2)

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.

If z_(1),z_(2),z_(3) be vertices of an equilateral triangle occurig in the anticlockwise sense, then

If z_(1),z_(2),z_(3) be vertices of an equilateral triangle occurig in the anticlockwise sense, then

If z_(1), z_(2), z_(3) be vertices of an equilateral triangle occurring in the anticlockwise sense then,

If A(2+3i) and B(3+4i) are two vertices of a square ABCD (taken in anticlockwise order)in a complex plane, then the value of |Z_(3)|^(2)-|Z_(4)|^(2) (Where C is Z_(3) and D is Z_(4) ) is equal to

If A(2+3i) and B(3+4i) are two vertices of a square ABCD (taken in anticlockwise order)in a complex plane, then the value of |Z_(3)|^(2)-|Z_(4)|^(2) (Where C is Z_(3) and D is Z_(4) ) is equal to

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, z_4 represent the vertices of a rhombus in anticlockwise order, then