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 .

A

Statement - 1 is true, statement - 2 is true and statement - 2 is a correct explanation for statement - 1.

B

Statement - 1 is true, statement - 2 is true but 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 faslse.

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • CARTESIAN SYSTEM OF RECTANGULAR COORDINATES AND STRAIGHT LINES

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS. B - ARCHITECTURE (ENTRANCE EXAMINATION PAPERS)|14 Videos

  • CARTESIAN SYSTEM OF RECTANGULAR COORDINATES AND STRAIGHT LINES

    MCGROW HILL PUBLICATION|Exercise EXERCISE (NUMERICAL ANSWER TYPE QUESTIONS)|21 Videos

  • AREA BY INTEGRATION

    MCGROW HILL PUBLICATION|Exercise Question from Previous Years. B-Architecture Entrance Examination Papers|12 Videos

  • CIRCLES AND SYSTEMS OF CIRCLES

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS. B-ARCHITECTURE ENTRANCE EXAMINATION PAPERS|17 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)

MCGROW HILL PUBLICATION-CARTESIAN SYSTEM OF RECTANGULAR COORDINATES AND STRAIGHT LINES -QUESTIONS FROM PREVIOUS YEARS. (AIEEE/JEE MAIN PAPERS)
  1. The lines p(p^2+1)x-y+q=0 and (p^2+1)^2x+(p^2+1)y+2q=0 are perpendicul...

    Text Solution

    |

  2. The line L given by x/5+y/b=1 passes through the point (13,32). The li...

    Text Solution

    |

  3. The lines L(1) : y - x = 0 and L(2) : 2x + y = 0 intersect the line ...

    Text Solution

    |

  4. The lines x + y=|a| and ax-y = 1 intersect each other in the first qua...

    Text Solution

    |

  5. IfA(2,-3) and B(-2, 1) are two vertices of a triangle and third vertex...

    Text Solution

    |

  6. If the line 2x + y = k passes through the point which divides the line...

    Text Solution

    |

  7. A line is drawn through the point (1, 2) to meet the coordinate axes ...

    Text Solution

    |

  8. A ray of light along x+sqrt(3)y=sqrt(3) gets reflected upon reachin...

    Text Solution

    |

  9. Equation of the line passing through the points of imtersection of the...

    Text Solution

    |

  10. A light ray emerging from the point source placed at P(1,3) is reflect...

    Text Solution

    |

  11. If the three lines x-3y = p, ax + 2y = q and ax + y = r from a right-a...

    Text Solution

    |

  12. The x-coordinate of the incentre of the triangle that has the coord...

    Text Solution

    |

  13. If the x-intercept of some line L is double as that of the line, 3x + ...

    Text Solution

    |

  14. If the extremities of the base of an isosceles triangle are the points...

    Text Solution

    |

  15. Let theta1, be the angle between two lines 2x+3y+c=0 and -x +5y+c, =0,...

    Text Solution

    |

  16. If the image of point P(2, 3) in a line L is Q (4,5) then, the image o...

    Text Solution

    |

  17. Let A (-3,2) and B (-2, 1) be the vertices of a triangle ABC. If the c...

    Text Solution

    |

  18. Let a, b, c and d be non-zero numbers. If the point of intersection...

    Text Solution

    |

  19. Let P S be the median of the triangle with vertices P(2,2),Q(6,-1)a...

    Text Solution

    |

  20. Let a & b be any two numbers satisfying 1/a^2 + 1/b^2 = 1/4.Then, the ...

    Text Solution

    |