Let `z_1, z_2, z_3`, are the coordinates of the vertices of the triangle `A_1,A_2,A_3`. Which of the followsstatements are equivalent

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 z_1,z_2,z_3 are the vertices of a triangle then its centroid is

If z_(1),z_(2),z_(3) represent the vertices of an equilateral triangle such that |z_(1)|=|z_(2)|=|z_(3)| , then

Let the complex number z_1,z_2,z_3 be the vertices of an equilateral triangle . Let z_0 be the circumcentre of the triangle . Then z_1^2+z_2^2+z_3^2=

If the point A_1, A_2,….,A_8 be the affixes of the roots of the equation z^8-1=0 in the argand plane, then the area of the triangle A_3 A_6 A_7 is equal to

Let the complex number z_(1) , z_(2) , z_(3) be the vertices of an equilateral triangle . Let z_(theta) be the circumcentre of the triangle . Then z_(1)^(2) + z_(2)^(2) + z_(3)^(2) =

Let the complex numbers z_1,z_2 and z_3 be the vertices of an equilateral triangle let z_0 be the circumcentre of the triangle. Then prove that z_1^2+z_2^2+z_3^2= 3z_0^2

Let the complex numbers z_1,z_2 and z_3 be the vertices of an equilateral triangle let z_0 be the circumcentre of the triangle. Then prove that z_1^2+z_2^2+z_3^2= 3z_0^2

Let the complex numbers z_1,z_2 and z_3 be the vertices of an equilateral triangle let z_0 be the circumcentre of the triangle then prove that z_1^2+z_2^2+z_3^2=3z_0^2