All the points in the set $S = \left\{ \frac { \alpha + i } { \alpha - i } , \alpha \in R \right\} , i = \sqrt { - 1 }$ lie on a\\
(1) straight line whose slope is - 1\\
(2) circle whose radius is $\sqrt { 2 }$\\
(3) circle whose radius is 1\\
(4) straight line whose slope is 1