The 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 angle between $L_1$ and $L_2$ divides the line segment PQ internally at R . Statement-I $\quad: \quad \mathrm{PR}: \mathrm{RQ}=2 \sqrt{2}: \sqrt{5}$ Statement-II : In any triangle, bisector of an angle divides that triangle into two similar triangles.

• Correct answer
  A

  Statement-I is true, Statement-II is false
• B

  Statement-I is false, Statement-II is true
• C

  Statement-I is true, Statement-II is true, Statement-II is a correct explanation for Statement-I
• D

  Statement-I is true, Statement-II is true, Statement-II is not a correct explanation for Statement-I

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