[" If "A(z_(1)),B(z_(2)),C(z_(3))" are three points "],[" in argand plane where "],[|z_(1)+z_(2)|=|z_(1)|-|z_(2)|" and "],[|(1-i)z_(1)+iz_(3)|=|z_(1)|+|z_(3)-z_(1)|," then "]

If A (z_1), B (z_2) and C (z_3) are three points in the argand plane where |z_1 +z_2|=||z_1-z_2| and |(1-i)z_1+iz_3|=|z_1|+|z_3|-z_1| , where i = sqrt-1 then

If A(z_(1)),B(z_(2)) and C(z_(3)) are three points in the Argand plane such that z_(1)+omegaz_(2)+omega^(2)z_(3)=0 , then

If A(z_(1)),B(z_(2)) and C(z_(3)) are three points in the Argand plane such that z_(1)+omegaz_(2)+omega^(2)z_(3)=0 , then

If z_(1), z_(2) and z_(3) are the vertices of a triangle in the argand plane such that |z_(1)-z_(2)|=|z_(1)-z_(3)| , then |arg((2z_(1)-z_(2)-z_(3))/(z_(3)-z_(2)))| is

If z_(1), z_(2) and z_(3) are the vertices of a triangle in the argand plane such that |z_(1)-z_(2)|=|z_(1)-z_(3)| , then |arg((2z_(1)-z_(2)-z_(3))/(z_(3)-z_(2)))| is

If A(z_(1)) , B(z_(2)) , C(z_(3)) are vertices of a triangle such that z_(3)=(z_(2)-iz_(1))/(1-i) and |z_(1)|=3 , |z_(2)|=4 and |z_(2)+iz_(1)|=|z_(1)|+|z_(2)| , then area of triangle ABC is

If A(z_(1)) , B(z_(2)) , C(z_(3)) are vertices of a triangle such that z_(3)=(z_(2)-iz_(1))/(1-i) and |z_(1)|=3 , |z_(2)|=4 and |z_(2)+iz_(1)|=|z_(1)|+|z_(2)| , then area of triangle ABC is

If A(z_(1)) , B(z_(2)) , C(z_(3)) are vertices of a triangle such that z_(3)=(z_(2)-iz_(1))/(1-i) and |z_(1)|=3 , |z_(2)|=4 and |z_(2)+iz_(1)|=|z_(1)|+|z_(2)| , then area of triangle ABC is

If A(z_(1)) and B(z_(2)) are two points in the Argand plane such that z_(1)^(2)+z_(2)^(2)+z_(1)z_(2)=0 , then triangleOAB , is

If z_1, z_2, z_3 are three collinear points in |argand plane, then |(z_1,bar z_1,1),(z_2,barz_2,1),(z_3,barz_3,1)|=