JEE Main 2009Annual, Paper 1MathematicsMediumComplex Numbers and Quadratic Equations264× since 2002If ∣z−4z∣=2,\,\left| {z - {4 \over z}} \right| = 2,z−z4=2, then the maximum value of ∣z∣\,\left| z \right|∣z∣ is equal to :AOption A. 5+1\sqrt 5 + 15+1BOption B. 2COption C. 2+22 + \sqrt 22+2DOption D. 3+1\sqrt 3 + 13+1CheckSkip · show solution