If \( z \) is a complex number such that \( |z| \geq 2 \), then the...

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If \( z \) is a complex number such that \( |z| \geq 2 \), then the minimum value of \( \left|z+\left(\frac{1}{2}\right)\right| \), \( \mathrm{i} \) is
P
[JEE Main 2014, 4M]
W
(a) is strictly greater than \( \frac{5}{2} \)
(b) is equal to \( \frac{5}{2} \)
(c) is strictly greater than \( \frac{3}{2} \) but less than \( \frac{5}{2} \)
(d) lies in the interval \( (1,2) \)
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