If \[A+B+C=\pi ,\] then the value of the determinant \[D=\left| \begin{matrix} {{\sin }^{2}}A & \cot A & 1 \\ {{\sin }^{2}}B & \cot B & 1 \\ {{\sin }^{2}}C & \cot C & 1 \\ \end{matrix} \right|=\]
A)1
B)\[-1\]
C)0
D)none of these
Correct Answer:
C
Solution :
\[{{R}_{1}}\to {{R}_{1}}-{{R}_{2}}\] and \[{{R}_{2}}\to {{R}_{2}}-{{R}_{3}}\]