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.