JEE Math Practice Question

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 $${L_2}$$ intersects $${L_3}$$ at $$R$$. Statement-1: The ratio $$PR$$ : $$RQ$$ equals $$2\sqrt 2 :\sqrt 5 $$ Statement-2: In any triangle, bisector of an angle divide the triangle into two similar triangles.

1. A.Statement-1 is true, Statement-2 is true; Statement-2 is not a correct explanation for Statement-1.
2. B.Statement-1 is true, Statement-2 is false.
3. C.Statement-1 is false, Statement-2 is true.
4. D.Statement-1 is true, Statement-2 is true; Statement-2 is a correct explanation for Statement-1.