Find the circumstance of the triangle whose vertices are given by the complex numbers `z_(1),z_(2)` and `z_(3)`.

18.In the complex plane,the vertices of an equilateral triangle are represented by the complex numbers z_(1),z_(2) and z_(3) prove that (1)/(z_(1)-z_(2))+(1)/(z_(2)-z_(3))+(1)/(z_(3)-z_(1))=0

If two triangles whose vertices are respectively the complex numbers z_(1),z_(2),z_(3) and a_(1),a_(2),a_(3) are similar, then the determinant. |{:(z_(1),a_(1),1),(z_(2),a_(2),1),(z_(3),a_(3),1):}| is equal to

Le z_(1) and z_(2) be non-zero complex numbers satisfying the equation,z_(1)^(2)-2z_(1)z_(2)+2z_(2)^(2)=0. The geometrical nature of the triangle whose vertices are the origin and the points representing z_(1), and z_(2) is

Find the area of the triangle whose vertices represent the three roots of the complex equation z^4 = (z+1)^4 .

If z is a complex number such that |z|=2 , then the area (in sq. units) of the triangle whose vertices are given by z, -iz and iz-z is equal to

For complex numbers z_1 = 6+3i, z_2=3-I find (z_1)/(z_2)

If |z_(1)|=|z_(2)|=|z_(3)|=1 and z_(1)+z_(2)+z_(3)=0 then the area of the triangle whose vertices are z_(1),z_(2),z_(3) is 3sqrt(3)/4b.sqrt(3)/4c.1d.2