If $A, B, C$ are the angles of triangle then the value of determinant $\left| {\begin{array}{*{20}{c}}
{\sin \,2A}&{\sin \,C}&{\sin \,B} \\
{\sin \,C}&{\sin \,2B}&{\sin A} \\
{\sin \,B}&{\sin \,A}&{\sin \,2C}
\end{array}} \right|$ is
$\pi $
$0$
$2\pi $
None
The number of solutions of the equations $x + 4y - z = 0,$ $3x - 4y - z = 0,\,x - 3y + z = 0$ is
The value of the determinant $\left| {\,\begin{array}{*{20}{c}}2&8&4\\{ - 5}&6&{ - 10}\\1&7&2\end{array}\,} \right|$is
Evaluate the determinants
$\left|\begin{array}{ccc}2 & -1 & -2 \\ 0 & 2 & -1 \\ 3 & -5 & 0\end{array}\right|$
$2x + 3y + 4z = 9$,$4x + 9y + 3z = 10,$$5x + 10y + 5z = 11$ then the value of $ x$ is