If z lies on the circle |z−2i|=22, then the value of arg[(z – 2)/(z + 2)] is equal to

If z lies on the circle |z2i|=22, then the value of arg[(z - 2)/(z + 2)] is equal to

  1. A

    π3

  2. B

    π4

  3. C

    π6

  4. D

    π2

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    Solution:

    CA=CB=22,OC=2 OA=OB=2 A2+0i,B=2+0i

     Clearly,

    BCA=π/2 BPA=π/4 argz2z+2=π4

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