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: The ratio PR: RQ equals 2 2: 5 Statement-2: In any triangle, bisector of an angle divide the triangle into two similar triangles.

(B) Statement-1 is true, Statement-2 is false.

(A) Statement-1 is true, Statement-2 is true; Statement-2 is not a correct explanation for Statement-1.

(C) Statement-1 is false, Statement-2 is true.

(D) Statement-1 is true, Statement-2 is true; Statement-2 is a correct explanation for Statement-1.

Coordinate Geometry: JEE Main 2011 Mathematics question

JEE Main 2011 · Annual, Paper 1 · Q5509

JEE Main 2011Annual, Paper 1MathematicsMediumCoordinate Geometry478× since 2002

The lines

{L_1}:y - x = 0

and

{L_2}:2x + y = 0

intersect the line

{L_3}:y + 2 = 0

P

and

Q

respectively. The bisector of the acute angle between

{L_1}

and

{L_2}

intersects

{L_3}

R

. Statement-1: The ratio

PR

RQ

equals

2\sqrt 2 :\sqrt 5

Statement-2: In any triangle, bisector of an angle divide the triangle into two similar triangles.