The equation of the plane that contains the line $\overrightarrow r=2\hat i+\lambda(\hat j-\hat k)$ and $\perp$ to the plane $\overrightarrow r.(\hat i+\hat k)=3$ is ?

Question

$\begin{array}{1 1} (a)\:\overrightarrow r.(\hat i-\hat j-\hat k)=2\:\qquad\:(b)\:\overrightarrow r.(\hat i+\hat j-\hat k)=2\:\qquad\:(c)\:\overrightarrow r.(\hat i+\hat j+\hat k)=2\:\qquad\:(d)\:\overrightarrow r.(\hat i-\hat j+\hat k)=0 \end{array} $