If z and ω are non-zero complex numbers such that |z|=|ω| and arg z+arg⁡ω=π then z=

If z and ω are non-zero complex numbers such that |z|=|ω| and arg z+argω=π then z=

  1. A

    ω

  2. B

    -ω

  3. C

    ω

  4. D

    -ω

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    Solution:

     :z=reiθ,ω=reiφθ+φ=π z=rei(πφ)=reiπeiφ=reiφ=ω¯

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