If $a>0$ and determinant of $ax^2+2bx+c$ is -ve then $\begin{vmatrix}a&b&ax+b\\b&c&bx+c\\ax+b&bx+c&0\end{vmatrix}$ is equal to

Question

$\begin{array}{1 1}(a)\;+ve&(b)\;(ac-b^2)(ax^2+2bx+c)\\(c)\;-ve&(d)\;0\end{array}$