The Cartesian equation of the plane passing through the line of intersection of the planes. $ \overrightarrow{r} .( 2 \hat i -3 \hat j+4 \hat k) =1$ and $ \overrightarrow{r} .( 2 \hat i - \hat j+ \hat k)+8 =0$ and passing through $(1, 1, 1).$

Question

$\begin{array}{1 1} 12x + 16y -21z =0 \\ 12x -16y-21z=0 \\ 12x-16y+21z=0 \\ 12x+16y+21z=0 \end{array} $