JEE Main 2005Annual, Paper 1MathematicsMediumComplex Numbers and Quadratic Equations264× since 2002If ω=zz−13i \,\omega = {z \over {z - {1 \over 3}i}}\,ω=z−31iz and ∣ω∣=1\left| \omega \right| = 1∣ω∣=1, then zzz lies on :AOption A. an ellipseBOption B. a circleCOption C. a straight lineDOption D. a parabolaCheckSkip · show solution
