c
(c) $\Delta = (b - a)\,(b - a)\,.\,\left| {\,\begin{array}{*{20}{c}}b&{b - c}&c\\a&{a - b}&b\\c&{c - a}&a\end{array}\,} \right|$
.= ${(a - b)^2}\left| {\,\begin{array}{*{20}{c}}b&b&c\\a&a&b\\c&c&a\end{array}\,} \right|\, = 0$, [by ${C_2} \to {C_2} + {C_3}$] .