A line passing through the point $P(1,1)$ and parallel to the line $x-y=5$ cuts the line $x+3 y-2=0$ at $Q$. Then twice the length of the segment $P Q$ is

• A

  $\sqrt{2}-1$
• B

  $2 \sqrt{3}-1$
• Correct answer
  C

  $\sqrt{2}$
• D

  $\frac{1}{\sqrt{2}}$

Hence, the correct answer is option: 'C'.