If z0,z1 represents points P,Q on the locus |z−1|=1 and the line segment PQ subtends an angle π2 at the point z=1 then z1 is equal to
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.
If z1 is rotated through an angle of 120∘ anti-clockwise about z0 to reach z2 , then z2−z0z1−z0 equal to