A) circle
B) straight line
C) parabola
D) none of these
Correct Answer: B
Solution :
Since \[{{z}_{1}},{{z}_{2}},{{z}_{3}}\]are in AP \[\therefore \] \[{{z}_{2}}=\frac{{{z}_{1}}+{{z}_{2}}}{2}\] \[\Rightarrow \]The point representing \[{{z}_{2}}\] divided the line segment joining points \[{{z}_{1}}\]and \[{{z}_{3}}\] in the ratio 1:1. \[\therefore \]The points lies on a straight line.
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