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JEE Main2003MathematicsComplex NumberActual

If z and are two non-zero complex numbers such that |z |=1 and Arg (z)- Arg ( )= 2 , then z is equal to

Options

  1. A- i
  2. B1
  3. C-1
  4. Di.

Correct answer

A. - i

Step-by-step solution

|z |=1 As, Arg ( z )= 2 therefore z =i | z |=1 From (1) & (2), |z|=| |=1 and z + z =0 ; z + z =0 z =-z = -z ; z =-i| |^2=- i

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