The 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 acute angle between L_1 and L_2 intersects L_3 at R. Statement 1: P R: R Q=2 \sqrt{2}: \sqrt{5} Statement 2: In any triangle, the bisector of an angle divides the triangle into two similar triangles.

Correct Answer is : Statement-1 is true, Statement-2 is false

Statement-1 is true, Statement-2 is false

Statement-1 is false, Statement-2 is true

Statement-1 and Statement-2 are both true

Statement-1 and Statement-2 are both false

AP EAPCET 17th May 2023 Shift 2 Solved Paper

Section: Mathematics

Question : 46 of 160

Marks: +1, -0

The lines L1:y−x=0 and L2:2x+y=0 intersect the line L3:y+2=0 at P and Q respectively. The bisector of the acute angle between L1 and L2 intersects L3 at R.
Statement 1:PR:RQ=2√2:√5
Statement 2: In any triangle, the bisector of an angle divides the triangle into two similar triangles.

Statement-1 is true, Statement-2 is false
Statement-1 is false, Statement-2 is true
Statement-1 and Statement-2 are both true
Statement-1 and Statement-2 are both false

Validate

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