JEE Main 2005Annual, Paper 1MathematicsMediumComplex Numbers and Quadratic Equations264× since 2002If z1{z_1}z1 and z2{z_2}z2 are two non-zero complex numbers such that ∣z1+z2∣=∣z1∣+∣z2∣\,\left| {{z_1} + {z_2}} \right| = \left| {{z_1}} \right| + \left| {{z_2}} \right|∣z1+z2∣=∣z1∣+∣z2∣, then arg z1{z_1}z1 - arg z2{z_2}z2 is equal to :AOption A. π2 {\pi \over 2}\,2πBOption B. −π- \pi−πCOption C. 0DOption D. −π2{{ - \pi } \over 2}2−πCheckSkip · show solution