Points $(\sqrt{\pi}, a)$ and $(\sqrt{\pi}, b)$ are distinct points on the graph of $y^{2}+x^{4}=2 x^{2} y+1$. What is $\textbar a-b\textbar$? 
选项为:A:$$1$$  B:$\frac{\pi}{2}$  C:$$2$$  D:$\sqrt{1+\pi}$  E:$1+\sqrt{\pi}$  请回答其中一个选项.