If |z−z1|+|z+z2| = λ,λ∈R+,z1,z2 are fixed complex numbers, represents an ellipse, then:
For two complex numbers z1 and z2. It is given that ∣∣∣z1−z21+z2∣∣∣=1. Prove that iz1z2=λ, where λ is real. Also determine the angle between the lines drawn from origin to points z1+z2 and z1−z2.