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JEE Math Practice Question

Let the complex number $$z = x + iy$$ be such that $${{2z - 3i} \over {2z + i}}$$ is purely imaginary. If $${x} + {y^2} = 0$$, then $${y^4} + {y^2} - y$$ is equal to :

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

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