Home
Class 9
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`

Text Solution

AI Generated Solution

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

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

RD SHARMA ENGLISH-CIRCLE -All Questions
  1. (Converse of Theorem 3) The line joining the centre of a circle to the...

    Text Solution

    |

  2. .The equation of the circle passing through three non-collinear points...

    Text Solution

    |

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

    Text Solution

    |

  4. If two chords A B and A C of a circle with centre O are such that the ...

    Text Solution

    |

  5. If two arcs of a circle (or of congruent circles) are congruent, then ...

    Text Solution

    |

  6. If two chord of a circle (or of congruent circles) are equal, then ...

    Text Solution

    |

  7. The perpendicular from the centre of a circle to a chord bisects the ...

    Text Solution

    |

  8. If two circles intersect in two points, prove that the line through th...

    Text Solution

    |

  9. Find the length of the chord which is at 12 cm distance from center an...

    Text Solution

    |

  10. In an isosceles triangle A B C with A B=A C , a circle passing through...

    Text Solution

    |

  11. P Q and R S are two parallel chords of a circle and lines R P and S Q ...

    Text Solution

    |

  12. A B C is an isosceles triangle in which A B=A Cdot If Da n dE are the ...

    Text Solution

    |

  13. D and E are points on equal sides A B and A C of an isosceles triangle...

    Text Solution

    |

  14. D\ a n d\ E are, respectively, the points on equal sides A B\ a n d...

    Text Solution

    |

  15. A B C D is a cyclic quadrilateral. A Ba n dD C are produced to meet in...

    Text Solution

    |

  16. In Figure, P Q R S is a cyclic quadrilateral. Find the measure of each...

    Text Solution

    |

  17. Prove that any cyclic parallelogram is a rectangle.

    Text Solution

    |

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

    Text Solution

    |

  19. A B C D is a parallelogram. The circle through A ,Ba n dC intersects C...

    Text Solution

    |

  20. Fill in the blanks: All point lying inside/outside a circle are ...

    Text Solution

    |