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The lines L(1) : y - x = 0 and L(2) : 2x...

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 bisectors of the acute angle between `L_(1)` and `L_(2)` intersect `L_(3)` at R .
Statement 1 : The ratio PR : RQ equals `2sqrt2 : sqrt5`
Statement - 2 : In any triangle , bisector of an angle divides the triangle into two similar triangles .

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