If $\large\frac{1-i}{1+i}$ is a root of the equation $ax^{2}+bx+1=0$ where $a ,b$ are real then $(a , b)$is

Question

$$\begin{array}{1 1}(1)(1 , 1)&(2)(1 , -1)\\(3)(0 , 1)&(4)(1 , 0)\end{array}$$