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JEE Math Practice Question

The real part of the complex number $${{{{(1 + 2i)}^8}\,.\,{{(1 - 2i)}^2}} \over {(3 + 2i)\,.\,\overline {(4 - 6i)} }}$$ is equal to :

  1. A.$${{500} \over {13}}$$
  2. B.$${{110} \over {13}}$$
  3. C.$${{55} \over {6}}$$
  4. D.$${{550} \over {13}}$$

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