" If "z_(1)" and "z_(2)" are two complex numbers such that "|(z_(1)-z_(2))/(z_(1)+z_(2))|=1," prove that "(|z_(1))/(z_(1))=k," where "k" is a real number."

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 numbers such that |(z_(1)-z_(2))/(z_(1)+z_(2))|=1, then

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 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 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) and z_(2) are two complex numbers such that |z_(1)|= |z_(2)|+|z_(1)-z_(2)| then

If z_(1) and z_(2) are two complex numbers such that z_(1)+2,1-z_(2),1-z, then

If z_(1)-z_(2) are two complex numbers such that |(z_(1))/(z_(2))|=1 and arg (z_(1)z_(2))=0, then