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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 :

${4 \over 3}$
${3 \over 2}$
${3 \over 4}$
${2 \over 3}$

Solution

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