Let z and w be complex numbers such that z-+iω-=0 and arg⁡(zω)=π, then arg z=

Let z and w be complex numbers such that z-+iω-=0 and arg(zω)=π, then arg z=

  1. A

    π4

  2. B

    5π4

  3. C

    3π4

  4. D

    π2

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    Solution:

     z¯=iω¯z=iω arg z=argi+argω=π2+argω

    But arg(zω)=πargω=πargz

    Now, argz=π2+argω

    argz=π=argω

    Adding (i) and (ii), 2argz=3π2,argz=3π4

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