If z1 and z2 are two complex number such...

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

Similar Questions

Explore conceptually related problems

If z_1 , and z_2 be two complex numbers prove that z_1barz_1=|z_1|^2

If z_1 , and z_2 be two complex numbers prove that bar(z_1+-z_2)=barz_1+-barz_2

If z_1 and z_2 (ne 0) are two complex numbers, prove that : |z_1 z_2|= |z_1||z_2| .

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

If z_1 and z_2 be two non-zero complex numbers such that |z_1+z_2|=|z_1|+|z_2| ,then prove that argz_1-argz_2=0 .

If z_1 and z_2 are two complex number such that |z_1|<1<|z_2| then prove that |(1-z_1 bar z_2)/(z_1-z_2)|<1

If z_1 and z_2 are two complex numbers such that |z_1|lt1lt|z_2| then prove that |(1-z_1barz_2)/(z_1-z_2)|lt1