A) \[\operatorname{Re}(z)\ge 0\]
B) \[\operatorname{Re}(z)<0\]
C) \[\operatorname{Re}(z)>0\]
D) None of these
Correct Answer: D
Solution :
We know that \[|z-{{z}_{1}}|>|z-{{z}_{2}}|\] represents the region on right side of perpendicular bisector of\[{{z}_{1}}\] and \[{{z}_{2}}\]. Thus, the given inequality \[|z-2|>|z-4|\]represents) the region on right side of perpendicular bisector of 2 and 4. \[\Rightarrow \]Re (z) > 3 and Im(z) \[\in \]R
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