Lines \( L_{1}: y-x=0 \) and \( L_{2}: 2 x+y=0 \) intersect the lin...

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Lines \( L_{1}: y-x=0 \) and \( L_{2}: 2 x+y=0 \) intersect the line \( L_{3}: y+2=0 \) at \( P \) and \( Q \) respectively. The bisector of the
\( \mathrm{P} \) acute angle between \( L_{1} \) and \( L_{2} \) intersects \( L_{3} \) at \( R \).

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Statement I The ratio \( P R: R Q \) equals \( 2 \sqrt{2}: \sqrt{5} \) because
Statement II In any triangle, bisector of an angle divides the triangle into two similar triangles.
(a) Statement \( \mathrm{I} \) is true, statement II is true; statement II is not a correct explanation for statement \( \mathrm{I} \)
(b) Statement I is true, statement II is true; statement II is not a correct explanation for statement I
(c) Statement I is true, statement II is false
(d) Statement I is false, statement II is true
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