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JEE Math Practice Question

Let z $$ \in $$ C be such that |z| < 1. If $$\omega = {{5 + 3z} \over {5(1 - z)}}$$z, then :

  1. A.4Im( $$\omega$$) > 5
  2. B.5Im( $$\omega$$) < 1
  3. C.5Re( $$\omega$$) > 4
  4. D.5Re( $$\omega$$) > 1

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