Home
Class 9
MATHS
If two equal chords of a circle intersec...

If two equal chords of a circle intersect within the circle, prove that the line joining the point of intersection to the centre makes equal angles with the chord.

Promotional Banner

Topper's Solved these Questions

  • CIRCLES

    MODERN PUBLICATION|Exercise EXERCISE|94 Videos
  • AREA OF PARALLELOGRAMS AND TRIANGLES

    MODERN PUBLICATION|Exercise EXERCISE|83 Videos
  • CONSTRUCTIONS

    MODERN PUBLICATION|Exercise EXERCISE|69 Videos

Similar Questions

Explore conceptually related problems

If two equal chords of a circle intersect within the circle, prove that the segments of one chord are equal to corresponding segments of the other chord.

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

If two intersecting chords of a circle make equal angles with the diameter passing through their point of intersection, prove that the chords are equal.

The line joining the centre of a circle to the mid-point of a chord is perpendicular to the chord.

If two circles intersect at two points, prove that their centres lie on the perpendicular bisector of the common chord.

Prove that the centre of the circle circumscribing the cyclic rectangle ABCD is the point of intersection of its diaognsls.

Prove that the line of centres of two intersecting circles subtends equal angles at the two points of intersection.

Of any two chords of a circle, show that the one which is greater is nearer to the centre.

Of any two chords of a circle, show that the one which is greater is nearer to the centre.

MODERN PUBLICATION-CIRCLES-EXERCISE
  1. Bisector AD of angleBAC of triangleABC passes through the centre O of ...

    Text Solution

    |

  2. If two equal chords of a circle intersect within the circle, prove tha...

    Text Solution

    |

  3. If two equal chords of a circle intersect within the circle, prove tha...

    Text Solution

    |

  4. If O is the centre of the circle, find the value of x in each of the f...

    Text Solution

    |

  5. O is the centre of the circle and angleAOB = 70^@. Calculate the value...

    Text Solution

    |

  6. O is the centre of the circle and angleAOB = 70^@. Calculate the value...

    Text Solution

    |

  7. O is the centre of the circle. If angleABD = 35^@ and angleBAC = 70^@....

    Text Solution

    |

  8. angle ABD = 54^@ and angleBCD = 43^@, calculate the angleACD

    Text Solution

    |

  9. angle ABD = 54^@ and angleBCD = 43^@, calculate the angleBAD

    Text Solution

    |

  10. angle ABD = 54^@ and angleBCD = 43^@, calculate the angleBDA

    Text Solution

    |

  11. DE is a chord parallel to diameter AC of the circle with centre O. If ...

    Text Solution

    |

  12. C is a point on the minor arc of the circle, with centre O. If angleAC...

    Text Solution

    |

  13. If O is the circumcentre of a triangleABC, OD bot BC, prove that angle...

    Text Solution

    |

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

    Text Solution

    |

  15. AB is a diameter of the circle C(AO,R) and the radius OD is perpendicu...

    Text Solution

    |

  16. Prove that the circle drawn on any one of the equal sides of an isosce...

    Text Solution

    |

  17. AC is the diamter of a circle with centre AO and chord BD bot AC, inte...

    Text Solution

    |

  18. Fill in the Blanks: The centre of a cirlce lies in of the cirlce. (...

    Text Solution

    |

  19. A point, whose distance from the centre of a circle is greater than it...

    Text Solution

    |

  20. The longest chord of a circle is a ........... of the circle.

    Text Solution

    |