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JEE Math Practice Question

All the points in the set $$S = \left\{ {{{\alpha + i} \over {\alpha - i}}:\alpha \in R} \right\}(i = \sqrt { - 1} )$$ lie on a :

  1. A.straight line whose slope is –1
  2. B.straight line whose slope is 1.
  3. C.circle whose radius is 1.
  4. D.circle whose radius is $$\sqrt 2$$ .

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