If `|z|=2a n d(z_1-z_3)/(z_2-z_3)=(z-2)/(z+2)` , then prove that `z_1, z_2, z_3` are vertices of a right angled triangle.

If z_(1)=iz_(2) and z_(1)-z_(3)=i(z_(3)-z_(2)), then prove that |z_(3)|=sqrt(2)|z_(1)|

If |z_(1)|=|z_(2)|=|z_(3)| and z_(1)+z_(2)+z_(3)=0 , then z_(1),z_(2),z_(3) are vertices of

The complex numbers z_1 z_2 and z3 satisfying (z_1-z_3)/(z_2-z_3) =(1- i sqrt(3))/2 are the vertices of triangle which is (1) of area zero (2) right angled isosceles(3) equilateral (4) obtuse angled isosceles

The complex number z_(1),z_(2) and z_(3) satisfying (z_(1)-z_(3))/(z_(2)-z_(3))=(1-i sqrt(3))/(2) are the vertices of a triangle which is :

If z_(1),z_(2),z_(3) are the vertices of an isoscles triangle right angled at z_(2) , then