Given $z=1-t+i\sqrt{t^2+t+2}$ wher $t$ is a real parameter.The locus of z in Argand plane is

Question

$\begin{array}{1 1}(A)\;\text{Circle}&(B)\;\text{Parabola}\\(C)\;\text{Ellipse}&(D)\;\text{Hyperbola}\end{array}$