Let \( z \in \mathbf{C} \) and \( x=|z-1|+|z|+|z+1| \), then (a) mi...

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Let \( z \in \mathbf{C} \) and \( x=|z-1|+|z|+|z+1| \), then
(a) minimum value of \( x \) is 2
(b) minimum value is attained on at least three points
(c) minimum value of \( x \) is attained at infinite number of points
(d) maximum value of \( x \) is attained on the circle \( |z|=\sqrt{2} \)
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