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

Question

(a) is strictly greater than $\;\large\frac{5}{2}\;$(b) is strictly greater than $\;\large\frac{3}{2}\;$ but less than $\;\large\frac{5}{2}\;$(c) is equal to $\;\large\frac{5}{2}\;$(d) lies in the interval (1,2)