If $P(3,2,6)$ is a point and $Q$ is a point on the line $\overrightarrow r=(\hat i-\hat j+2\hat k)+\lambda(-3\hat i+\hat j+5\hat k),$ then the value of $\lambda$ for which $\overrightarrow {PQ}$ is parallel to the plane $x-4y+3z=1$ is ?

Question

$\begin{array}{1 1} (a)\:\:\large\frac{1}{4}\:\:\:\qquad\:\:(b)\:\:-\frac{1}{4}\:\:\:\qquad\:\:(c)\:\:\frac{1}{8}\:\:\:\qquad\:\:(d)\:\:-\frac{1}{8} \end{array}$