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JEE Math Practice Question

If a > 0 and z = $${{{{\left( {1 + i} \right)}^2}} \over {a - i}}$$, has magnitude $$\sqrt {{2 \over 5}} $$, then $$\overline z $$ is equal to :

  1. A.$$ - {1 \over 5} + {3 \over 5}i$$
  2. B.$$ - {1 \over 5} - {3 \over 5}i$$
  3. C.$${1 \over 5} - {3 \over 5}i$$
  4. D.$$ - {3 \over 5} - {1 \over 5}i$$

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