A) a pair of straight lines
B) an ellipse
C) a parabola
D) a hyperbola
Correct Answer: D
Solution :
Let \[z=x+iy\]then \[{{z}^{2}}={{x}^{2}}-{{y}^{2}}+2ixy\] \[\therefore \] \[\operatorname{Im}({{z}^{2}})=K\Rightarrow 2xy=K\Rightarrow xy=K/2\]which is a hyperbola.You need to login to perform this action.
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