Lines L1 L2 given by y –x = 0 and 2x + y = 0 intersect the line L3 given by y + 2 = 0 at P and Q, respectively. The bisector of the acute angle between L1 and L2 intersects L3 at R.
Statement 1: The ratio PR : RQ equals 2√2 : √5.
Statement 2: In any triangle, bisector of an angle divides the triangle into two similar triangles.
a. Statement 1 is true, Statement 2 is True; Statement 2 is a correct explanation for Statement 1.
b. Statement 1 is True, Statement 2 is True; Statement 2 is NOT a correct explanation for Statement 1.
c. Statement 1 is True, Statement 2 is False.
d. Statement 1 is False, Statement 2 is True.