Lines $\mathrm{L}_1: \mathrm{y}-\mathrm{x}=0$ and $\mathrm{L}_2: 2 \mathrm{x}+\mathrm{y}=0$ intersect the line $\mathrm{L}_3: \mathrm{y}+2=0$ at P and Q , respectively. The bisector of the acute angle between $\mathrm{L}_1$ and $\mathrm{L}_2$ intersects $\mathrm{L}_3$ at R . STATEMENT -1 : The ratio PR : RQ equals $2 \sqrt{2}: \sqrt{5}$. because STATEMENT -2 : In any triangle, bisector of an angle divides the triangle into two similar triangles.