The distance of the point $(-1,-5,-10)$ from the point of intersection of the line $\overrightarrow r=(2\hat i-\hat j+2\hat k)+\lambda(3\hat i+4\hat j+12\hat k)$ and the plane $\overrightarrow r.(\hat i-\hat j+\hat k)=5$ is ?

Question

$\begin{array}{1 1} (a) \:\:\large\frac{6}{\sqrt 3}\:\:\qquad\:\:(b) \:\:13\:\:\qquad\:\:(c)\:\:\large\frac{16}{\sqrt 3}\:\:\qquad\:\:(d)\:\:\sqrt {149} \end{array}$