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-I: The ratio PR: RQ equals `2sqrt(2):sqrt(5)` because.
Statement II: In any triangle bisector of an angle divides the triangle into two similar triangles.

Options

A. Statement 1 is correct and statement 2 is correct explanation of statement 1
B. Statement 1 is correct and statement 2 is not correct explanation of statement 1
C. Statement 1 is correct and statement 2 is false
D. Statement 1 is false statement 2 is correct

Answer

C