Home
Class 9
MATHS
Prove that all the chords of a circle th...

Prove that all the chords of a circle through a given point within it, the least is one which is bisected at that point.

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 chord of a circle is a line segment with its end points....

Equation of the chord of the parabola y^2 = 8x which is bisected at the point (2,-3) is

Prove that in two concentric circles, the chord of the larger circle, which touches the smaller circle, is bisected at the point of contact.

In two concentric circle, prove that a chord of larger circle which is tangent to smaller circle is bisected at the point of contact.

Show that if two chords of a circle bisect one another they must be diameters.

Find the equation of that chord of the circle x^2 + y^2 = 15, which is bisected at the point (3,2)

Prove that the locus of the center of a circle, which intercepts a chord of given length 2a on the axis of x and passes through a given point on the axis of y distant b from the origin, is a parabola.

The equation of the chord of the ellipse 2x^2+ 5y^2 =20 which is bisected at the point (2, 1) is

The equation of the chord of the ellipse 2x^2+ 5y^2 =20 which is bisected at the point (2, 1) is

The locus of the centres of all circles passing through two fixed points.

RD SHARMA ENGLISH-CIRCLE -All Questions
  1. In Figure, equal chords A B and C D of a circle with centre O , cut at...

    Text Solution

    |

  2. Two equal circles intersect in P and Q . A straight line through P mee...

    Text Solution

    |

  3. Prove that all the chords of a circle through a given point within it,...

    Text Solution

    |

  4. Prove that the diameter is the greatest chord in a circle.

    Text Solution

    |

  5. Bisector A D of /B A C of /\ A B C passes through the centre O of the ...

    Text Solution

    |

  6. In Figure, A B\ a n d\ A C are two equal chords of a circle whose ce...

    Text Solution

    |

  7. In Figure, O A and O B ar respectively perpendiculars to chords C D an...

    Text Solution

    |

  8. Three girls Reshma, Salma and Mandip are playing a game by standing...

    Text Solution

    |

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

    Text Solution

    |

  10. In Figure, calculate the measure of /A O Cdot

    Text Solution

    |

  11. A ,\ B\ a n d\ C are three points on a circle such that the angles s...

    Text Solution

    |

  12. In Figure, A B C is a triangle in which /B A C=30^@. Show that B C is ...

    Text Solution

    |

  13. A chord of a circle is equal to the radius of the circle find the angl...

    Text Solution

    |

  14. In Figure, /A B C=69^0,\ /A C B=31^0 , find /B D C

    Text Solution

    |

  15. In Figure, /P Q R=100^0, where P ,\ Q\ a n d\ R are points on a circle...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |