The value of the determinant $\left|\begin{array}{lll}x & a & x+a \\ y & b & y+b \\ z & c & z+c\end{array}\right|$ is

0

The correct answer is Option (3) - 0

$\left|\begin{array}{lll}x & a & x+a \\ y & b & y+b \\ z & c & z+c\end{array}\right|=\left|\begin{array}{lll}x & a & x \\ y & b & y \\ z & c & z\end{array}\right|+\left|\begin{array}{lll}x & a & a \\ y & b & b \\ z & c & c\end{array}\right|$

$=0+0$

$=0$