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JEE Math Practice Question

The equation $$\arg \left( {{{z - 1} \over {z + 1}}} \right) = {\pi \over 4}$$ represents a circle with :

  1. A.centre at (0, $$-$$1) and radius $$\sqrt 2 $$
  2. B.centre at (0, 1) and radius $$\sqrt 2 $$
  3. C.centre (0, 0) and radius $$\sqrt 2 $$
  4. D.centre at (0, 1) and radius 2

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