Home
Class 10
MATHS
Two chords A B and A C of a circle are e...

Two chords `A B` and `A C` of a circle are equal. Prove that the centre of the circle lies on the angle bisector of `/_B A Cdot`

Promotional Banner

Topper's Solved these Questions

  • TANGENTS AND INTERSECTING CHORDS

    ICSE|Exercise EXERCISE 18 (B)|18 Videos

  • SPECIMEN QUESTION PAPER (MATHEMATICS)

    ICSE|Exercise Section C|12 Videos

  • TRIGONOMETRICAL IDENTITIES

    ICSE|Exercise QUESTIONS|22 Videos

Similar Questions

Explore conceptually related problems

A diameter of a circle is a chord that ..... the centre of the circle.

If two chords A B and A C of a circle with centre O are such that the centre O lies on the bisector of /_B A C , prove that A B=A C , i.e. the chords are equal.

Equal chords of a circle are equidistant from the centre.

Prove Equal chords of a circle subtend equal angles at the centre.

Prove that the centre of a circle touching two intersecting lines lies on the angle bisector of the lines.

Chords of a circle which are equidistant from the centre are equal.

A chord A B of a circle, of radius 14 cm makes an angle of 60^@ at the centre of the circle. Find the area of the minor segment of the circle.

Out of two unequal chords of a circle, the bigger chord is closer to the centre of the circle. Prove it.

In Figure, hat A B~= hat A C and O is the centre of the circle. Prove that O A is the perpendicular bisector of B C

Two chords A B and C D of a circle are parallel and a line l is the perpendicular bisector of A B . Show that l bisects C Ddot

ICSE-TANGENTS AND INTERSECTING CHORDS-EXERCISE 18 (C)
  1. OABC is a rhombus whose three vertices. A, B and C lie on a circle wit...

    Text Solution

    |

  2. Two circles with centres A and B and radii 5 cm and 3 cm, touch each o...

    Text Solution

    |

  3. Two chords A B and A C of a circle are equal. Prove that the centre of...

    Text Solution

    |

  4. The diameter and a chord of a circle have a common end point. If the l...

    Text Solution

    |

  5. ABCD is a cyclic quadrilateral in which BC is paralleld to AD, angle A...

    Text Solution

    |

  6. In the given figure, C and D are points on the semi circle described o...

    Text Solution

    |

  7. In cyclic quadrilateral ABCD,/A=3/C and /D=5 /B. Find the measure of e...

    Text Solution

    |

  8. Prove that the circle drawn on any one of the equal sides of an iso...

    Text Solution

    |

  9. Bisectors of vertex angles A, B and C of a triangle ABC intersect its ...

    Text Solution

    |

  10. In the figure AB is the chord of a circle with centre O and DOC is a l...

    Text Solution

    |

  11. Prove that the perimeter of a right triangle is equal to the sum of th...

    Text Solution

    |

  12. . Prove that the tangent drawn at the mid-point of an arc of a circle ...

    Text Solution

    |

  13. In the given figure, MN is the common chord of two intersecting circle...

    Text Solution

    |

  14. In the given figure, ABCD is a cyclicquadrilateral, PQ is tangent to t...

    Text Solution

    |

  15. The given figure shows a circle with centre O and BCD is tangent to it...

    Text Solution

    |

  16. ABC is a right triagle with angle B=90^(@) . A circle with BC as diame...

    Text Solution

    |

  17. In the given figure AC=AE Show that (i) CP=EP (ii) BP=DP

    Text Solution

    |

  18. ABCDE is a cyclic pentagon with centre of its circumcircle alt point O...

    Text Solution

    |

  19. In the given figure O is the centre of the circle. Tangents at A and B...

    Text Solution

    |

  20. ABC is a triangle with AB=10cm, BC=8cm and AC=6cm (not drawn to scale)...

    Text Solution

    |