Home
Class 12
MATHS
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 .

Promotional Banner

Topper's Solved these Questions

  • STATISTICS

    JEE MAINS PREVIOUS YEAR|Exercise All Questions|10 Videos

  • THREE DIMENSIONAL GEOMETRY

    JEE MAINS PREVIOUS YEAR|Exercise All Questions|22 Videos

Similar Questions

Explore conceptually related problems

The straight lines L=x+y+1=0 and L_(1)=x+2y+3=0 are intersecting 'm 'me slope of the straight line L_(2) such that L is the bisector of the angle between L_(1) and L_(2). The value of m^(2) is

For the lines L_(1):3x-2y+5=0 and L_(2):kx+by15=0L_(1) is perpendicular to L_(2) if k=4

The portion of the line 4x+5y=20 in the first quadrant is trisected by the lines L_(1) and L_(2) passing through the origin.The tangent of an angle between the lines L_(1) and L_(2) is:

If L=2y-x=0 and if the acute angular bisector of L=0 and x -axis is L_(1)=0 and the acute angular bisector of L=0 and y- axis is L_(2)=0 then theangle between L_(1)=0 and L_(2)=0 is...

the lines L_(1) and L_(2) denoted by 3x^(2)+10xy+8y^(2)+14x+22y+15=0 intersect at the point P and have gradients M_(1) and M_(2) respectively.The acute angles between them is theta .which of the following relations hold good?

if line 2x+7y-1=0 intersect the lines L1:3x+4y+1=0 and L2:6x+8y-3=0 in A and B respectively,then equation of line parallal to L1 and L2 and passes through a point P such that AP:PB=2:1 (internally) is (P is on the line 2x + 7y-1=0)