Home
Class 9
MATHS
If O is the circumcentre of a A B C a...

If `O` is the circumcentre of a ` A B C` and `O D_|_B C ,` prove that `/_B O D=/_Adot`

Promotional Banner

Topper's Solved these Questions

  • AREA OF PARALLELOGRAMS AND TRIANGLES

    RD SHARMA ENGLISH|Exercise All Questions|206 Videos
  • CONGRUENT TRIANGLE

    RD SHARMA ENGLISH|Exercise All Questions|290 Videos

Similar Questions

Explore conceptually related problems

If O is the circumcentre of /_\ A B C and O D_|_B C , prove that /_B O D=/_A

If O is the circumcentre of A B C , then find the value of /_O B C+\ /_B A C

In Figure, A B\ a n d\ A C are two equal chords of a circle whose centre is O . If O D\ _|_A B\ a n d\ O E\ _|_A C , prove that /_\A D E is an isosceles triangle.

O A B C is regular tetrahedron in which D is the circumcentre of O A B and E is the midpoint of edge A Cdot Prove that D E is equal to half the edge of tetrahedron.

O A B C is regular tetrahedron in which D is the circumcentre of O A B and E is the midpoint of edge A Cdot Prove that D E is equal to half the edge of tetrahedron.

In Figure, O is the centre of a circle and P O BISECTS /_A P D . Prove that A B=C D

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

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

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-CIRCLE -All Questions
  1. The sum of the angles in the four segments exterior to a cyclic qua...

    Text Solution

    |

  2. If the bisectors of the opposite angles /Aa n d/B of a cyclic quadrila...

    Text Solution

    |

  3. If O is the circumcentre of a A B C and O D|B C , prove that /B O ...

    Text Solution

    |

  4. Two diameters of a circle intersect each other at right angles. Prove ...

    Text Solution

    |

  5. A B C and A D C are two right triangles with common hypotenuse A Cdot ...

    Text Solution

    |

  6. In a circle with centre O , chords A Ba n dC D intersect inside the ci...

    Text Solution

    |

  7. A B C and A D C are two right triangles with common hypotenuse A Cdot ...

    Text Solution

    |

  8. Bisectors of angles A, B and C of a triangle ABC intersect its circ...

    Text Solution

    |

  9. Prove that the circle drawn with any side of a rhombus as a diameter, ...

    Text Solution

    |

  10. A Ca n dB D are chords of a circle that bisect each other. Prove that:...

    Text Solution

    |

  11. Prove that the mid-point of the hypotenuse of a right triangle is eq...

    Text Solution

    |

  12. In Figure, P , is any point on the chord B C of a circle such that A B...

    Text Solution

    |

  13. Two chords A B and C D of a circle are parallel and a line l is the pe...

    Text Solution

    |

  14. A circular park of radius 20m is situated in a colony. Three boys Anku...

    Text Solution

    |

  15. In an equilateral triangle, prove that the centroid and centre of the ...

    Text Solution

    |

  16. In Figure, l is a line intersecting the two concentric circles, whose ...

    Text Solution

    |

  17. In the Figure, O D is perpendicular to the chord A B of a circle whose...

    Text Solution

    |

  18. A B and C D are two chords of a circle such that A B=6c m ,C D=12c m a...

    Text Solution

    |

  19. A B and C D are two parallel chords of a circle such that A B=10c m an...

    Text Solution

    |

  20. P Q and R S are two parallel chords of a circle whose centre is O and ...

    Text Solution

    |