If the vertices of an equilateral triangle are situated at `z=0,z=z_1,z=z_2`. then which of the following is/are true

If the vertices of an equilateral triangle are situated at z=0, z=z_1 and z=z_2 then which of the following is(are) true? (A) |z_1|=|z_2| (B) |z_1+z_2|=|z_1|+|z_2| (C) |z_1-z_2|=|z_1| (D) |argz_1-argz_2|= pi/3

If the vertices of an equilateral triangle are situated at z=0, z=z_1 and z=z_2 then which of the following is(are) true? (A) |z_1|=|z_2| (B) |z_1+z_2|=|z_1|+|z_2| (C) |z_1-z_2|=|z_1| (D) |argz_1-argz_2|= pi/3

If the points z_(1),z_(2),z_(3) are the vertices of an equilateral triangle in the Argand plane, then which one of the following is not correct?

If the points z_(1),z_(2),z_(3) are the vertices of an equilateral triangle in the Argand plane, then which one of the following is not correct?

If |z_(1)|= |z_(2)|= |z_(3)|=1 and z_(1) , z_(2), z_(3) are represented by the vertices of an equilateral triangle then which of the following is true?

If two vertices of an equilateral triangle are z_1,z_2 then find the complex number z_3 represented by the third vertex where z_1 , z_2,z_3 are anticlockwise.

If the vertices of an equilateral traingle be represented by the complex numbers z_1 , z_2 , z_3 , then prove that z_1^2+z_2^2+z_3^2=3z_0^2 and z_0 be the circumcenter of the triangle.

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