If z is a complex number

Question:

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

  1. is equal to $\frac{5}{2}$

  2. lies in the interval (1, 2)

  3. is strictly greater than $\frac{5}{2}$

  4. is strictly greater than $\frac{3}{2}$ but less than

Correct Option: , 2

Solution:

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