The vertex $A$ of a triangle lies on the lines $x+y=1$ and $2x+3y=6$. If the orthocentre of the triangle is $O\left(\frac{3}{7}, \frac{22}{7}\right)$,then the equation of $OA$ in the normal form is

• A
  $x \cos \alpha+y \sin \alpha=7 ; \alpha=\tan ^{-1} \frac{1}{7}$
• B
  $x \cos \alpha+y \sin \alpha=\frac{13}{\sqrt{17}} ; \alpha=\tan ^{-1}(4)$
• C
  $x \cos \alpha+y \sin \alpha=\frac{13}{4} ; \alpha=\tan ^{-1}\left(\frac{13}{\sqrt{17}}\right)$
• D
  $x \cos \alpha+y \sin \alpha=\frac{13}{\sqrt{17}} ; \alpha=\tan ^{-1}\left(\frac{1}{4}\right)$