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JEE Math Practice Question

If z is a complex number such that $$\,\left| z \right| \ge 2\,$$, then the minimum value of $$\,\,\left| {z + {1 \over 2}} \right|$$ :

  1. A.is strictly greater that $${{5 \over 2}}$$
  2. B.is strictly greater that $${{3 \over 2}}$$ but less than $${{5 \over 2}}$$
  3. C.is equal to $${{5 \over 2}}$$
  4. D.lie in the interval (1, 2)

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