The points, `z_1,z_2,z_3,z_4,` in the complex plane are the vertices 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

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

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

If z_(1), z_(2), z_(3), z_(4) are complex numbers, show that they are vertices of a parallelogram In the Argand diagram if and only if z_(1) + z_(3)= z_(2) + z_(4)

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, z_3,z_4 are distinct complex numbers representing the vertices of a quadrilateral A B C D taken in order. If z_1-z_4=z_2-z_3 and "arg"[(z_4-z_1)//(z_2-z_1)]=pi//2 , the quadrilateral is

If z_1,z_2,z_3,z_4 be the vertices of a quadrilaterla taken in order such that z_1+z_2-z_2+z_3 and |z_1-z_3|=|z_2-z_4| then arg ((z_1-z_2)/(z_3-z_2))= (A) pi/2 (B) +- pi/2 (C) pi/3 (D) pi/6

z_1, z_2, z_3,z_4 are distinct complex numbers representing the vertices of a quadrilateral A B C D taken in order. If z_1-z_4=z_2-z_3a n d"a r g"[(z_4-z_1)//(z_2-z_1)]=pi//2 , the quadrilateral is a. rectangle b. rhombus c. square d. trapezium

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

if the complex no z_1 , z_2 and z_3 represents the vertices of an equilateral triangle such that |z_1| = | z_2| = | z_3| then relation among z_1 , z_2 and z_3

if the complex no z_1 , z_2 and z_3 represents the vertices of an equilateral triangle such that |z_1| = | z_2| = | z_3| then relation among z_1 , z_2 and z_3