The equation of the line through the point $(1,1,3)$ and parallel to the planes $\overrightarrow r.(\hat i-\hat j+2\hat k)=5$ and $\overrightarrow r.(3\hat i+\hat j+\hat k)=6$ is ?

Question

$\begin{array}{1 1} (a)\:\:\overrightarrow r=(\hat i+\hat j+3\hat k)+\lambda(-3\hat i+5\hat j+4\hat k)\:\:& \:\:(b)\:\:\overrightarrow r=(-3\hat i+5\hat j+4\hat k)+\lambda(\hat i+\hat j+3\hat k)\\\:(c)\:\:\overrightarrow r=(-\hat i-\hat j-3\hat k)+\lambda(-3\hat i+5\hat j+4\hat k)\:\:&\:\:(d)\:\:\overrightarrow r=(3\hat i-5\hat j-4\hat k)+\lambda(\hat i+\hat j+3\hat k) \end{array}$