If $A=\begin{bmatrix}1&x\\x^2&4y\end{bmatrix}$ and $B=\begin{bmatrix}-3&1\\1&0\end{bmatrix}$ and adj$(A+B)=\begin{bmatrix}1 &0\\0&1\end{bmatrix}$ then values of $x$ and $y$ are

Question

$(a)\;1,1\qquad(b)\;\pm 1,1\qquad(c)\;1,0\qquad(d)\;None\;of\;these$