Home
Class 9
MATHS
If two circles intersect at two points, ...

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

Promotional Banner

Topper's Solved these Questions

  • Areas of Parallelograms and Triangles

    MBD|Exercise Exercise|80 Videos
  • Co-Ordinate Geometry

    MBD|Exercise Exercise|40 Videos

Similar Questions

Explore conceptually related problems

Two circles of radii 5 cm and 3 cm intersect at two points and the distance between their centres is 4 cm. Find the length of the common chord.

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.

Draw two non - parallel chords of the circle .Where do their perpendicular bisectors intersect .

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.

Draw a circle of radius 4 cm.Draw any two of its chords.Construct the perpendicular bisectors of these chords.Where do they meet?

Two chords PQ and RS of a circle are parallel to each other and AB is the perpendicular bisector of PQ. Without using any construction, prove that AB bisects RS.

P is a point on either of the two lines y - sqrt3|x|=2 at a distance 5 units from their point of intersection The coordinates of the foot of the perpendicular from P on the bisector of the angle between them are

Fill in the Blanks: The line drawn through the centre of a circle to ______ a chord is perpendicular to the chord.

Draw a circle of any radius.Draw its two chords such that AB is parallel to Cd.Draw the Perpendicular bisector of line segment AB and CD.

Two chords AB and AC of a circle are equal. Prove that the centre of the circle lies on the angle bisector of angleBAC .

MBD-Circles-Exercise
  1. Draw different pairs of circles. How many points does each pair have i...

    Text Solution

    |

  2. Suppose you are given a circle. Give a construction to find its centre...

    Text Solution

    |

  3. If two circles intersect at two points, prove that their centres lie o...

    Text Solution

    |

  4. The length of a chord of circle of radius 10 cm is 12 cm. Determine th...

    Text Solution

    |

  5. The length of a chord of a circle is 4 cm. If its perpendicular distan...

    Text Solution

    |

  6. The radius of the circle is 5 cm and distance of the chord from the ce...

    Text Solution

    |

  7. Find the length of a chord which is at a distance of 24 cm from the ce...

    Text Solution

    |

  8. Two points A and B are 16 cm apart. A circle with radius 17 cm is draw...

    Text Solution

    |

  9. If the length of a chord of a circle at a distance of 5 cm from the ce...

    Text Solution

    |

  10. A chord 6 cm long is drawn in a circle with a diameter equal to 10 cm....

    Text Solution

    |

  11. If the length of a chord of a circle at a distance of 24 cm from the c...

    Text Solution

    |

  12. AB and CD are two chords of a circle such that AB = 6 cm, CD = 12 cm a...

    Text Solution

    |

  13. PQ and RS are two parallel chords of a circle whose centre is O and ra...

    Text Solution

    |

  14. PQ and RS are two parallel chords of a circle whose centre is O and ra...

    Text Solution

    |

  15. In a circle of radius 25 cm, the lengths of parallel chords AB and CD ...

    Text Solution

    |

  16. Prove that a st. line cannot cut a circle in more than two points.

    Text Solution

    |

  17. Two chords PQ and RS of a circle are parallel to each other and AB is ...

    Text Solution

    |

  18. Equal chords of a circle (or of congruent circles) are equidistant fro...

    Text Solution

    |

  19. Chords of a circle (or of congruent circles), which are equidistant fr...

    Text Solution

    |

  20. Two circles of radii 5 cm and 3 cm intersect at two points and the dis...

    Text Solution

    |