For all complex numbers z of the form $\;1+i \alpha\;, \alpha \in R\;$ , if $\;z^{2}=x+iy\;$ , then :

Question

$(a)\;y^{2}-4x+2=0\qquad(b)\;y^{2}+4x-4=0\qquad(c)\;y^{2}-4x+4=0\qquad(d)\;y^{2}+4x+2=0$