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JEE Math Practice Question

If $z$ is a complex number such that $|z| \leqslant 1$, then the minimum value of $\left|z+\frac{1}{2}(3+4 i)\right|$ is :

  1. A.2
  2. B.$\frac{5}{2}$
  3. C.$\frac{3}{2}$
  4. D.3

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