Home
Class 10
MATHS
In a quadrilateral A B C D , if bisector...

In a quadrilateral `A B C D ,` if bisectors of the `/_A B Ca n d/_A D C` meet on the diagonal `A C` , prove that the bisectors of `/_B A Da n d/_B C D` will meet on the diagonal `B Ddot`

Promotional Banner

Topper's Solved these Questions

  • SURFACE AREAS AND VOLUMES

    RD SHARMA ENGLISH|Exercise All Questions|420 Videos
  • TRIGONOMETRIC IDENTITIES

    RD SHARMA ENGLISH|Exercise All Questions|254 Videos

Similar Questions

Explore conceptually related problems

In a parallelogram A B C D , the bisectors of /_A\ a n d\ /_B meet at Odot Find /_A O Bdot

In a quadrilateral A B C D , bisectors of angles A\ a n d\ B intersect at O such that /_A O B=75^0, then write the value of /_C+\ /_D

In A B C , if bisectors of /_A B C\ a n d\ /_A C B intersect at O at angle of 120^0 , then find the measure of /_A

In A B C ,\ /_A=50^0\ a n d\ B C is produced to a point D. The bisectors of /_A B C\ a n d\ /_A C D meet at Edot find /_Edot

In a quadrilateral ABCD , CO and DO are the bisectors of /_C and /_D respectively. Prove that /_C O D=1/2(/_A+/_B)

In a triangle A B C , the internal bisectors of /_B\ a n d\ /_C meet at P and the external bisectors of /_B\ a n d\ /_C meet at Q . Prove that /_B P C+\ /_B Q C=180^0

In a quadrilateral A B C D ,C O and D O are the bisectors of /_C and /_D respectively. Prove that /_C O D=1/2(/_A+/_B)dot

In a parallelogram A B C D ,\ the bisector of /_A also bisects B C at X . Find A B : A D

In a quadrilateral A B C D ,\ C O\ a n d\ D O are the bisectors of /_C\ a n d\ /_D respectively. Prove that /_C O D=1/2(/_A+/_B)dot

In a quadrilateral A B C D ,\ C O\ a n d\ D O are the bisectors of /_C\ a n d\ /_D respectively. Prove that /_C O D=1/2(/_A+/_B)dot

RD SHARMA ENGLISH-TRIANGLES-All Questions
  1. In figure, P is the mid-point of B C , ,Q is the mid-point of A P ,...

    Text Solution

    |

  2. A vertical stick 12m long casts a shadow 8m long on the ground. At the...

    Text Solution

    |

  3. In a quadrilateral A B C D , if bisectors of the /A B Ca n d/A D C mee...

    Text Solution

    |

  4. In A B C , the bisector of /B meets A C at D. A line PQ||AC meets A B...

    Text Solution

    |

  5. The bisectors of the angles B and C of a triangle A B C , meet the o...

    Text Solution

    |

  6. In A B C ,/B=2/C and the bisector of /B intersects A C at Ddot Prove ...

    Text Solution

    |

  7. In Figure, D E || B C , if A D=x ,D B=x-2,A E=x+2 and E C=x-1, find th...

    Text Solution

    |

  8. Lex X by any point on the side BC of a triangle ABC. If XM, XN are d...

    Text Solution

    |

  9. In Figure P Q is parallel to M Ndot if (K P)/(P M)=4//13 and K N=20. 4...

    Text Solution

    |

  10. In Figure DE||BC and CD||EF. Prove that A D^2=A B*A F.

    Text Solution

    |

  11. Da n dE are respectively the points on the side A Ba n dA C of a A B ...

    Text Solution

    |

  12. ABCD is a parallelogram. P is a point on the side BC DP when produced ...

    Text Solution

    |

  13. In Figure D E A C and D C a pdot Prove that (B E)/(E C)=(B C)/(C P)

    Text Solution

    |

  14. Prove that the area of equilateral triangle described on the side of a...

    Text Solution

    |

  15. Equilateral triangles are drawn on the sides of a right triangle. Show...

    Text Solution

    |

  16. Two triangle ABC and D B C lie on the same side of the base B C . From...

    Text Solution

    |

  17. A B C D is a quadrilateral; P , Q , Ra n dS are the points of trisecti...

    Text Solution

    |

  18. A B C D is a parallelogram and A P Q is a straight line meeting B C at...

    Text Solution

    |

  19. ABCD is a quadrilateral in which P, Q, R and S are mid-points of the...

    Text Solution

    |

  20. Through the mid-point M of the side C D of a parallelogram A B C D , t...

    Text Solution

    |