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Question

If z is a point on the circle |z1|=1, then arg z=
  1. arg (z1)
  2. 12arg (z1)
  3. arg (z2z)
  4. 13arg (z2z)


Solution

The correct options are
B 12arg (z1)
D 13arg (z2z)

If arg (z1)=α, then arg z=α2

arg (z2z)=arg z(z1)

=arg z+arg (z1)=3α2

arg z=12arg (z1)=13arg (z2z)

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