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Lines at P and Q respectively. The bisector of the acute angle between L₁ and L₂ intersects L₃ at R.
Statement- I : The ratio PR : RQ equals because.
Statement - II : In any triangle bisector of an angle divides the triangle into two similar triangles.

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I is true, II is false

Both I and II are true, II is a correct explanation of I

I is false, II is true

I is true, II is true, II is not a correct explanation for I

answer is C.

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Detailed Solution

$\begin{array}{l} L_{1} = x - y = 0 \\ L_{2} = 2 x + y = 0 \\ L_{3} = y + 2 = 0 \end{array}$

P.I of L₁ and L₂ is (0, 0)

P.I of L₁ and L₃ is (-2, -2)

P.I of L₂ and L₃ is (1, -2)

R dividides PQ in the ratio OP : OR

PR : PQ = OP : OQ

$\Rightarrow \sqrt{4 + 4} : \sqrt{1 + 4} = 2 \sqrt{2} : \sqrt{5}$

Statement : I is true

Statement : II is False

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