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^@`.

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

The given figure shows a circle with centre O and BCD is tangent to it at C. Show that /_ACD+/_BAC=90^(@)

Two equal chord AB and CD of a circle with centre O, intersect each other at point P inside the circle. Prove that: BP = DP

Two tangent segments BC and BD are drawn to a circle with centre O and radius r such that angleDBC=120^(@) . Prove that BO=2BC.

BC is an equilateral triangle. A circle is drawn with centre A so that it cuts AB and AC at points M and N respectively. Prove that BN = CM

In the figure AB is the chord of a circle with centre O and DOC is a line segment such that BC=DO . If /_C=20^(@) , find angle AOD.

Chords AB and CD of a circle with centre O, intersect at a point E. If OE bisects angle AED, prove that chord AB = chord CD.

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

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

RD SHARMA ENGLISH-CIRCLE -All Questions
  1. In Fig. 10.39, A, B, C and D are four points on a circle. AC and BD...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  19. 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

    |

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

    Text Solution

    |