Suppose that `Z_1, Z_2, Z_3,` are three vertices of an equilateral triangle in the argand plane. Let `alpha=1/2(sqrt3+i) and beta,` be an non-zero complex number. The points `alphaz_1+beta,alphaz_2+beta,alphaz_3+beta` will be

Suppose that z_1, z_2, z_3 are three vertices of an equilateral triangle in the Argand plane let alpha=1/2(sqrt3+i) and beta be a non zero complex number the point alphaz_1+beta,alphaz_2+beta,alphaz_3+beta wil be

Suppose that z_(1),z_(2),z_(3) are three vertices of an equilateral triangle in the Angand plane . Ley alpha=(1)/(2)(sqrt(3)+i)andbeta be a non-zero complex number . The points alphaz_(1)+beta,alphaz_(2)+beta,alphaz_(3)+beta will be -

Suppose that z_(1), z_(2), z_(3) are three vertices of an equilateral triangle in the Argand plane. Let alpha=(1)/(2) (sqrt(3) +i) and beta be a non-zero complex number. The point alphaz_(1) +beta, alpha z_(2)+beta, az_(3)+beta will be

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?

Let A(z_(1)),B(z_(2)),C(z_(3)) be the vertices of an equilateral triangle ABC in the Argand plane, then the number (z_(2)-z_(3))/(2z_(1)-z_(2)-z_(3)) , is

Let A(z_(1)),B(z_(2)),C(z_(3)) be the vertices of an equilateral triangle ABC in the Argand plane, then the number (z_(2)-z_(3))/(2z_(1)-z_(2)-z_(3)) , is

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=