If the complex numbers `z_1, z_2, z_3, z_4` taken in that order, represent the vertices of a rhombus, then

If z_1, z_2, z_3, z_4 represent the vertices of a rhombus in anticlockwise order, then

If points corresponding to the complex numbers z_(2),z_(2),z_(3) and z_(4) are the vertices of a rhombus taken in order,then for all non-zero real number k

If the complex numbers z_(1) , z_(2) , z_(3) represents the vertices of an equilateral triangle such that |z_1| = |z_2| = |z_3| then

If the complex numbers z_(1), z_(2), z_(3) represent the vertices of an equilateral triangle, and |z_(1)|= |z_(2)| = |z_(3)| , prove that z_(1)+ z_(2) + z_(3)=0

If the complex numbers z_1 , z_2, z_3 and z_4 denote the vertices of a square taken in order. If z_1 = 3+4i and z_3 = 5+ 6i , then the other two vertices z_2 and z_4 are respectively a) 5+4i, 5+6i b) 5+4i, 3+6i c) 5+6i, 3+5i d) 3+6i, 5+3i

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

The condition for the points z_1,z_2,z_3,z_4 taken in order in the Argand plane to be the vertices of a parallelogram is

If the complex numbers z_(1),z_(2),z_(3) represents the vertices of an equilaterla triangle such that |z_(1)|=|z_(2)|=|z_(3)| , show that z_(1)+z_(2)+z_(3)=0