[" 2.Let "z" be not a real number such that "(1+z+z^(2))/(1-z+z^(2))],[in R," then prove that "|z|=1" ."]

Let z be not a real number such that (1+z+z^(2))/(1-z+z^(2))in R, then prove tha |z|=1

Let z be not a real number such that (1+z+z^2)//(1-z+z^2) in R , then prove tha |z|=1.

Let z be not a real number such that (1+z+z^2)//(1-z+z^2) in R , then prove tha |z|=1.

Let z_(1),z_(2) be two complex numbers such that z_(1)+z_(2) and z_(1)z_(2) both are real, then

Let z_(1),z_(2) be two complex numbers such that z_(1)+z_(2) and z_(1)z_(2) both are real, then

Let z_(1),z_(2) be two complex numbers such that |z_(1)+z_(2)|=|z_(1)|+|z_(2)| . Then,

Let z_(1),z_(2) be two complex numbers such that |z_(1)+z_(2)|=|z_(1)|+|z_(2)| . Then,

Let z_(1),z_(2) and z_(3) be complex numbers such that |z_(1)|=|z_(2)|=|z_(3)|=1 then prove that |z_(1)+z_(2)+z_(3)|=|z_(1)z_(2)+z_(2)z_(3)+z_(3)z_(1)|

Let z_(1)" and "z_(2) be two complex numbers such that z_(1)z_(2)" and "z_(1)+z_(2) are real then

Let z_1 and z_2 be two complex numbers such that z_1+z_2 and z_1z_2 both are real, theb