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The lines L(1) : y - x = 0 and L(2) : 2x...

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 bisectors of the acute angle between `L_(1)` and `L_(2)` intersect `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 .

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Lines L_(1) : y-c=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 I The ratio PR : RQ equals 2sqrt(2) : sqrt(5) . Because Statement II In any triangle, bisector of an angle divides the triangle into two similar triangles.

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 2sqrt(2):sqrt(5) . because Statement 2: In any triangle, bisector of an angle divides the triangle into two similar triangles.

Knowledge Check

  • 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 2sqrt(2) : sqrt(5). Statement 2: In any triangle, bisector of an angle divides the triangle into two similar triangles.1

    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 statement1.
    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.

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