Let `z_1, z_2, z_3, z_4` be the vertices `A, B, C, D` respectively of a square on the Argand diagramtaken in anticlockwise direction then prove that: `2z_2 = (1 + i)z_1 + (1-i)z_3`

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

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

If A(z_1),B(z_2),C(z_3) and D(z_4) be the vertices of the square ABCD then

If z_1,z_2,z_3,z_4 be the vertices of a parallelogram taken in anticlockwise direction and |z_1-z_2|=|z_1-z_4|, then sum_(r=1)^4(-1)^r z_r=0 (b) z_1+z_2-z_3-z_4=0 a r g(z_4-z_2)/(z_3-z_1)=pi/2 (d) None of these

If z_1,z_2,z_3,z_4 be the vertices of a parallelogram taken in anticlockwise direction and |z_1-z_2|=|z_1-z_4|, then sum_(r=1)^4(-1)^r z_r=0 (b) z_1+z_2-z_3-z_4=0 a r g(z_4-z_2)/(z_3-z_1)=pi/2 (d) None of these

z_1, z_2 and z_3 are the vertices of an isosceles triangle in anticlockwise direction with origin as in center , then prove that z_2, z_1 and kz_3 are in G.P. where k in R^+dot

z_1, z_2 and z_3 are the vertices of an isosceles triangle in anticlockwise direction with origin as in center , then prove that z_2, z_1 and kz_3 are in G.P. where k in R^+dot

The vertices of a square are z_(1),z_(2),z_(3) and z_(4) taken in the anticlockwise order,then z_(3)=

A(z_1),B(z_2),C(z_3) are the vertices of the triangle A B C (in anticlockwise). If /_A B C=pi//4 and A B=sqrt(2)(B C) , then prove that z_2=z_3+i(z_1-z_3)dot

A(z_1),B(z_2),C(z_3) are the vertices of he triangle A B C (in anticlockwise). If /_A B C=pi//4 and A B=sqrt(2)(B C) , then prove that z_2=z_3+i(z_1-z_3)dot