If `z_1,z_2,z_3` be the vertices A,B,C respectively of triangle ABC such that `|z_1|=|z_2|=|z_3| and |z_1+z_2|=|z_1-z_2|` then C=
(A) `pi/2`
(B) `pi/3`
(C) `pi/6`
(D) `pi/4`

If z_1,z_2,z_3 be the vertices of a triangle ABC such that |z_1|=|z_2|=|z_3| and |z_1+z_2|^2= |z_1|^2+|z_2|^2, then |arg, ((z_3-z_1)/(z_3-z_2))|= (A) pi/2 (B) pi/3 (C) pi/6 (D) pi/4

If z_1, z_2 and z_3 , are the vertices of an equilateral triangle ABC such that |z_1 -i| = |z_2 -i| = |z_3 -i| .then |z_1 +z_2+ z_3| equals:

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

If z_1,z_2,z_3 are vertices of a triangle such that |z_1-z_2|=|z_1-z_3| then arg ((2z_1-z_2-z_3)/(z_3-z_2)) is :

If z_1,z_2,z_3 are vertices of a triangle such that |z_1-z_2|=|z_1-z_3| then arg ((2z_1-z_2-z_3)/(z_3-z_2)) is :

If z_(1),z_(2),z_(3) are the vertices of an equilational triangle ABC such that |z_(1)-i|=|z_(2)- i| = |z_(3)-i|, then |z_(1)+z_(2)+z_(3)| equals to

If z_1,z_2,z_3 be the vertices A,B,C respectively of an equilateral trilangle on the Argand plane and |z_1|=|z_2|=|z_3| then (A) Centroid oif the triangle ABC is the complex number 0 (B) Distance between centroid and orthocentre of the triangle ABC is 0 (C) Centroid of the tirangle ABC divides the line segment joining circumcentre and orthcentre in the ratio 1:2 (D) Complex number representing the incentre of the triangle ABC is a non zero complex number

If |z_1+z_2|=|z_1-z_2| and |z_1|=|z_2|, then (A) z_1=+-iz_2 (B) z_1=z_2 (C) z_=-z_2 (D) z_2=+-iz_1

If A(z_(1)),B(z_(2)), C(z_(3)) are the vertices of an equilateral triangle ABC, then arg (2z_(1)-z_(2)-z_(3))/(z_(3)_z_(2))=

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