The point on the line $\overrightarrow r=(-2\hat i-\hat j+3\hat k)+\lambda(3\hat i+2\hat j+2\hat k)$ which is at a distance of $3\sqrt 2$ units from the point $(1,2,3)$ is ?

Question

$\begin{array}{1 1} (a)\:(\large\frac{17}{56}.\frac{17}{43},\frac{17}{111})\:\qquad\:(b)\:(\large\frac{56}{17}.\frac{43}{17},-\frac{111}{17})\:\qquad\:(c)\:(-2,-1,3)\:\:\qquad\:(d)\:(-\large\frac{53}{17},\frac{43}{17},\frac{111}{17}) \end{array}$