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 $Q$.…

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
  1. $\sqrt{2}-1$
  2. $2 \sqrt{3}-1$
  3. $\sqrt{2}$
  4. $\frac{1}{\sqrt{2}}$

Solution

No solution. Refer to answer key.

Asked in: AP EAMCET 2017 (25 Apr Shift 1)

Practice more Straight Lines questions on Aicharya