Let \( z=1-t+i \sqrt{t^{2}+t+2} \), where \( t \) is a real parameter. The locus of \( \mathrm{z...

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Let \( z=1-t+i \sqrt{t^{2}+t+2} \), where \( t \) is a real parameter. The locus of \( \mathrm{z} \) in the Argand plane is
(a) a hyperbola
(b) an ellipse
(c) a straight line
(d) a circle
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