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JEE Math Practice Question

If $${{z - \alpha } \over {z + \alpha }}\left( {\alpha \in R} \right)$$ is a purely imaginary number and | z | = 2, then a value of $$\alpha $$ is :

  1. A.$${1 \over 2}$$
  2. B.$$\sqrt 2 $$
  3. C.2
  4. D.1

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