Interpret the following locii in \( z \in C \). \( \operatorname{Arg}(z-a)=\pi / 3 \) where \( a...

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Interpret the following locii in \( z \in C \).
\( \operatorname{Arg}(z-a)=\pi / 3 \) where \( a=3+4 i \).
(a) Region between the concentric circles with centre \( (0,2) \) and radii 1 and 3
(b) region outside or on the circle centre \( (1 / 2,2) \) and radius \( =1 / 2 \)
(c) semicircle in I and IV quadrants, \( x^{2}+y^{2}=1 \)
(d) a ray emanating from the point.
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