A line with direction ratio $(2,1,2)$ meets the lines $x=y+a=z\:\;and\:\:x+a=2y=2z$. The coordinates of the points of intersections are ?

Question

$\begin{array}{1 1} (a)\:(2a,3a,a)\: and\: (2a,a,a)\:\:\qquad\:(b)\:(3a,2a,3a)\: and\:(a,a,a)\:\:\qquad\:(c)\:(3a,2a,3a)\:and\:(a,a,2a)\:\:\qquad\:(d)\:(3a,3a,3a)\: and\: (a,a,a) \end{array} $