If $z$ is a complex number such that $|z| \geq 1$, then the minimum value of $\left|z+\frac{1}{2}(3+4 i)\right|$ is:
[We changed options. In official NTA paper no option was correct.]
(1) $\frac{5}{2}$
(2) 2
(3) 3
(4) 0
$|z| \geq 1$
Min. value of $\left|z+\frac{3}{2}+2 i\right|$ is actually zero.
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