Let $\mid x\mid$ represent the greatest integer less than or equal to $x$ then the value of the determinant $\begin{vmatrix}e & \pi & \pi^{2}-6 \\ \pi & \pi^{2}-6 & e \\ \pi^{2}-6 & e & \pi \end{vmatrix}$ is

Question

$(a)\;-8\qquad(b)\;8\qquad(c)\;10\qquad(d)\;None\;of\;these$