If `z` is a complex number such that `|z|>=2` then the minimum value of `|z+1/2|` isA. is equal to `(5)/(2)`B. lies in the interval (1,2)C. is strictly gerater than `(5)/(2)`D. is strictly greater than `(3)/(2)` but less than `(5)/(2)`

If `z` is a complex number such that `|z|>=2` then the minimum value o

1.	If `z` is a complex number such that `\|z\|>=2` then the minimum value of `\|z+1/2\|` isA. is equal to `(5)/(2)`B. lies in the interval (1,2)C. is strictly gerater than `(5)/(2)`D. is strictly greater than `(3)/(2)` but less than `(5)/(2)`
Answer» Correct Answer - B `\|z\| ge2` `therefore \|z+(1)/(2)\|\|ge\|-\|(1)/(2)\|\|ge \|2-(1)/(2)\|ge(3)/(2)` Hence, minimun distance between z and `(-(1)/(2),0)` is `(3)/(2)`.

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