If `z_1 and z_2` are two complex numbers such that `|(z_1-z_2)/(z_1+z_2)|=1,` then

If z_1 and z_2 are two complex number such that |(z_1-z_2)/(z_1+z_2)|=1 , Prove that iz_1/z_2=k where k is a real number Find the angle between the lines from the origin to the points z_1 + z_2 and z_1-z_2 in terms of k

If z_1 and z_2 are two complex number such that |(z_1-z_2)/(z_1+z_2)|=1 , Prove that iz_1/z_2=k where k is a real number Find the angle between the lines from the origin to the points z_1 + z_2 and z_1-z_2 in terms of k

If z_(1) and z_(2) are two complex number such that |(z_(1)-z_(2))/(z_(1)+z_(2))|=1, Prove that i(z_(1))/(z_(2))=k where k is a real number Find the angle between the lines from the origin to the points z_(1)+z_(2) and z_(1)-z_(2) in terms of k

If z_(1) , z_(2) are two complex numbers such that |(z_(1)-z_(2))/(z_(1)+z_(2))|=1 and iz_(1)=Kz_(2) , where K in R , then the angle between z_(1)-z_(2) and z_(1)+z_(2) is

If z_(1) , z_(2) are two complex numbers such that |(z_(1)-z_(2))/(z_(1)+z_(2))|=1 and iz_(1)=Kz_(2) , where K in R , then the angle between z_(1)-z_(2) and z_(1)+z_(2) is

If z_(1) , z_(2) are two complex numbers such that |(z_(1)-z_(2))/(z_(1)+z_(2))|=1 and iz_(1)=Kz_(2) , where K in R , then the angle between z_(1)-z_(2) and z_(1)+z_(2) is

If z_(1) , z_(2) are two complex numbers such that |(z_(1)-z_(2))/(z_(1)+z_(2))|=1 and iz_(1)=Kz_(2) , where K in R , then the angle between z_(1)-z_(2) and z_(1)+z_(2) is

Statement-1 If|z_1| and |z_2| are two complex numbers such that |z_1|=|z_2|+|z_1-z_2|, then Im(z_1/z_2)=0 and Statement-2: arg(z)=0 =>z is purely real

If z_1 and z_2 are two complex numbers such that (z_1-2z_2)/(2-z_1bar(z_2)) is unimodular whereas z_1 is not unimodular then |z_1| =

If z_1 and z_2 are two nonzero complex numbers such that |z_1-z_2|=|z_1|-|z_2| then arg z_1 -arg z_2 is equal to