The complex number $z$ satisfying the equation $arg\large(\frac{z-1}{z+1})=\frac{\pi}{4}$ represents ?

Question

$\begin{array}{1 1}(A) \;A\;Circle \\(B)\;A\;Parabola\\(C)\;A\;Straight \;Line \\(D)\;An\;Ellipse \end{array}$