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The lines L1 : y-x=0 and L2 : 2x + y = 0...

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 bisector of the acute angle between `L_1` and `L_2` intersects `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.

A

Statement 1 is true, statement 2 is false.

B

Statement 1 is true, statement 2 is true, statement 2 is the correct explanation of statement 1.

C

Statement 1 is true, statement 2 is true, statement 2 is not the correct explanation of statement 1.

D

Statement 1 is false, statement 2 is true.

Text Solution

Verified by Experts

The correct Answer is:
D
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