JEE Main 2010Annual, Paper 1MathematicsMediumComplex Numbers and Quadratic Equations264× since 2002The number of complex numbers z such that ∣z−1∣=∣z+1∣=∣z−i∣\left| {z - 1} \right| = \left| {z + 1} \right| = \left| {z - i} \right|∣z−1∣=∣z+1∣=∣z−i∣ equals :AOption A. 1BOption B. 2COption C. ∞\infty∞DOption D. 0CheckSkip · show solution