A) circle whose radius is 1.
B) straight line whose slope is 1.
C) straight line whose slope is -1
D) circle whose radius is \[\sqrt{2}\].
Correct Answer: A
Solution :
Let\[\frac{\alpha +i}{\alpha -i}=z\]\[\Rightarrow \]\[\frac{\left| \alpha +i \right|}{\left| \alpha -i \right|}=\left| z \right|\]\[\Rightarrow \]\[1=\left| z \right|\] \[\Rightarrow \]circle of radius 1
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