If $l,m,n$ are $\;x^{th}\;,y^{th}\;and\;z^{th}$ term of a GP then , $\begin{vmatrix}\log l& x & 1\\\log m &y &1\\\log n &z &1\end{vmatrix}=$

Question

$(a)\;x+y+z\qquad(b)\;xyz\qquad(c)\;xy+yz+xz\qquad(d)\;0$