Home
Class 9
MATHS
In figure, A B\ a n d\ C D are straight ...

In figure, `A B\ a n d\ C D` are straight lines and `O P\ a n d\ O Q` are respectively the bisectors of angles `/_B O D\ a n d\ /_A O C` . Show that the rays `O P\ a n d\ O Q` are in the same line.

Promotional Banner

Topper's Solved these Questions

  • LINEAR EQUATIONS IN TWO VARIABLES

    RD SHARMA|Exercise All Questions|104 Videos
  • MEASURES OF CENTRAL TENDENCY

    RD SHARMA|Exercise All Questions|141 Videos

Similar Questions

Explore conceptually related problems

In Figure, P Q R S is a parallelogram, P O\ a n d\ Q O are, respectively, the angle bisectors of /_P\ a n d\ /_Q . Line L O M is drawn parallel to P Q . Prove that: P L=Q M (ii) L O=O M

In Figure, X\ a n d\ Y are the mid-points of A C\ a n d\ A B respectively, Q P\ B C\ a n d\ C Y Q\ a n d\ B X P are straight lines. Prove that a r\ (\ A B P)=\ a r\ (\ A C Q)

In Figure, P Q R S is a square and T\ a n d\ U are, respectively, the mid-points of P S\ a n d\ Q R . Find the area of O T S\ if P Q=8\ c mdot

In square A B C D ,\ P\ a n d\ Q are mid-point of A B\ a n d\ C D respectively. If A B=8c m\ a n d\ P Q\ a n d\ B D intersect at O , then find area of O P B

In a \ A B C , If L\ a n d\ M are points on A B\ a n d\ A C respectively such that L M B Cdot Prove that: a r\ (\ L O B)=a r\ (\ M O C)

In Figure, B E_|_A C ,\ A D is any line from A\ to\ B C intersecting B E in HdotP ,\ Q\ a n d\ R are respectively the mid-points of A H ,\ A B\ a n d\ B Cdot Prove that /_P Q R=90^0

In Fig.100, A B C D\ a n d\ E F is a transversal intersecting AB and CD at P and Q respectively. The measure of /_D O P is (a) 65 (b) 25 (c) 115 (d) 105

In Figure A B C D\ a n d\ A E F D are two parallelograms. Prove that: P E=F Q

In Figure, A B C\ a n d\ ABD are two triangles on the base A Bdot If line segment C D is bisected by A B\ a t\ O , show that a r\ ( A B C)=a r\ (\ A B D)

In Fig.105, If A O B and C O D are straight lines. Then x+y= (a) 120 (b) 140 (c) 100 (d) 160

RD SHARMA-LINES AND ANGLES -All Questions
  1. In Figure, determine the value of ydot

    Text Solution

    |

  2. In Figure, three coplanar lines intersect in a common point, forming...

    Text Solution

    |

  3. In figure, A B\ a n d\ C D are straight lines and O P\ a n d\ O Q are ...

    Text Solution

    |

  4. In Figure, two straight lines P Q\ a n d\ R S intersect each other a...

    Text Solution

    |

  5. In Figure, lines l1a n d\ L2\ i ntersect \ at \ O, forming angles as ...

    Text Solution

    |

  6. In Figure, three coplanar lines intersect at a point O , forming ang...

    Text Solution

    |

  7. In Figure, find the value of x ,\ y\ a n d\ z

    Text Solution

    |

  8. In Figure, find the value of x

    Text Solution

    |

  9. Prove that the bisectors of a pair of vertically opposite angles are i...

    Text Solution

    |

  10. If two straight lines intersect each other, prove that the ray oppo...

    Text Solution

    |

  11. If one of the four angles formed by two intersecting lines is a rig...

    Text Solution

    |

  12. The diagonals of a parallelogram A B C D intersect at Odot A line thro...

    Text Solution

    |

  13. In a parallelogram A B C D diagonals A C\ a n d\ B D intersect at O\ a...

    Text Solution

    |

  14. A B ,\ C D ,\ a n d\ E F are three concurrent lines passing through ...

    Text Solution

    |

  15. In Figure, lines A B\ a n d\ C D intersect at O.

    Text Solution

    |

  16. Which of the following statements are true (T) and which are false(F...

    Text Solution

    |

  17. Fill in the blanks so as to make the following statements true: (i) If...

    Text Solution

    |

  18. In Figure, m||n\ and /1=65^0. F i n d /5 a n d\ /8

    Text Solution

    |

  19. In Figure, find the values of x\ a n d\ y and then show that A B||C ...

    Text Solution

    |

  20. In Figure, If A B C D ,\ C D E F\ a n d\ y : z=3:7, find x

    Text Solution

    |