JEE Main 2011 — Straight Lines Question with Solution

The lines $L_1:y-x=0$ and $L_2:2x+y=0$ intersect the line $L_3:y+2=0$ at $P$ and $Q$ respectively. The bisector of the acute angle between $L_1$ and $L_2$ intersect $L_3$ at $R$. This question has Statement $-1$ and Statement $-2$. Of the four choices given after the statements, choose the one that best describes the two statements. Statement-1 : The ratio $PR:RQ$ equals $2\sqrt{2}:\sqrt{5}$. Statement-2 : In any triangle, bisector of an angle divides the triangle into two similar triangles.