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Complex Numbers question

2005 · Shift 0 · Q94
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Complex Numbers question

2005 · Shift 0 · Q94

JEE MainMathematicsComplex NumbersMCQ+4 / −1
If 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 :
  1. A
    π2 {\pi \over 2}\,2π​
  2. B
    −π- \pi−π
  3. C
    0
  4. D
    −π2{{ - \pi } \over 2}2−π​
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