If the matrix $A=\begin{bmatrix}y+a&b&c\\a&y+b&c\\a&b&y+c\end{bmatrix}$ has rank 3 then

Question

$\begin{array}{1 1}(a)\;y\neq (a+b+c)&(b)\;y\neq 1\\(c)\;y=0&(d)\;y\neq -(a+b+c)\;and\;y\neq 0\end{array}$