Home
Class 9
MATHS
BC is a chord with centre O. A is ...

BC is a chord with centre O. A is a point on an arc BC . Prove that: ∠BAC+∠OBC= 90 , if A  is the point on the major arc.

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

In DeltaABC, D is any point on side BC. Prove that AB+BC+CA gt 2AD

ABC is a triangle in which AB = AC and D is a point on AC such that BC^2 = AC xx CD .Prove that BD = BC .

A chord of a circle is equal to the radius of the circle find the angle subtended by the chord at a point on the minor arc and also at a point on the major arc.

A chord of a circle is equal to the radius of the circle find the angle subtended by the chord at a point on the monor arc and also at a point on the major arc.

A chord of a circle is equal to the radius of the circle find the angle subtended by the chord at a point on the monor arc and also at a point on the major arc.

A chord of a circle is equal to the radius of the circle. Find the angle subtended by the chord at a point on the minor arc and also at a point on the major arc.

A Delta ABC is right angled at A . L is a point on BC such that AL bot BC . Prove that /_BAL = /_ACB .

A Delta ABC is right angled at A. L is a point on BC such that AL bot BC. Prove that /_BAL = /_ACB .

. Prove that the tangent drawn at the mid-point of an arc of a circle is parallel to the chord joining the end points of the arc.

The circumcentre of the triangle ABC is O . Prove that angle OBC+angle BAC=90^@ .

RD SHARMA ENGLISH-CIRCLE -All Questions
  1. In Figure, /P Q R=100^0, where P ,\ Q\ a n d\ R are points on a circle...

    Text Solution

    |

  2. In Fig. 10.39, A, B, C and D are four points on a circle. AC and BD...

    Text Solution

    |

  3. BC is a chord with centre O. A is a point on an arc BC . Pr...

    Text Solution

    |

  4. BC is a chord with centre O. A is a point on an arc BC . Pr...

    Text Solution

    |

  5. Prove that the circle drawn on any one of the equal sides of an isos...

    Text Solution

    |

  6. In Figure, A ,\ B ,\ C are three points on a circle such that the an...

    Text Solution

    |

  7. In Figure, O is the centre of the circle and the measure of arc A B...

    Text Solution

    |

  8. In Figure, O is the centre of the circle. The angle subtended by the a...

    Text Solution

    |

  9. In Figure, find m\ /P Q B where O is the centre of the circle

    Text Solution

    |

  10. Two circle intersect in A and B and AC and AD are respectively the dia...

    Text Solution

    |

  11. Two circles are drawn with sides A B ,A C of a triangle A B C as diame...

    Text Solution

    |

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

    Text Solution

    |

  13. In the figure, P is the centre of the circle. Prove that: /X P Z=2\...

    Text Solution

    |

  14. In a circle with centre O , chords A B\ a n d\ C D intersect insid...

    Text Solution

    |

  15. C is a point on the minor arc AB of the circle, with centre ...

    Text Solution

    |

  16. In Figure, chord E D is parallel to the diameter A C of the circle...

    Text Solution

    |

  17. In Figure, A B\ a n d\ C D are two chords of a circle, intersecting ...

    Text Solution

    |

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

    Text Solution

    |

  19. In the given figure, a diameter PQ of a circle bisects the chord RS at...

    Text Solution

    |

  20. In Figure, A B=C D. Prove that B E=D E\ a n d\ A E=C E , where E is th...

    Text Solution

    |