A) Circle
B) Straight line
C) Parabola
D) None of these
Correct Answer: A
Solution :
Let \[z=x+iy\].Then \[x=\lambda +3\]and \[y=\sqrt{5-{{\lambda }^{2}}}\] Þ \[{{(x-3)}^{2}}={{\lambda }^{2}}\] ......(i) and \[{{y}^{2}}=5-{{\lambda }^{2}}\] ......(ii) From (i) and (ii), \[{{(x-3)}^{2}}=5-{{y}^{2}}\]Þ \[{{(x-3)}^{2}}+{{y}^{2}}=5\]. Obviously it is a circle.
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