Home
Class 9
MATHS
Prove that the line joining the mid-poin...

Prove that the line joining the mid-points of two parallel chords of a circle passes through the centre.

Text Solution

Verified by Experts

AB||CD->OP_|_AB
`/_BPQ=90^@`
OX||AB
`/_POX=/_BPO`
`/_POX=90^@`
`OQ_|_CD`
OX||CD
`/_OQD=90^@`
...
Promotional Banner

Topper's Solved these Questions

  • AREA OF PARALLELOGRAMS AND TRIANGLES

    RD SHARMA|Exercise All Questions|205 Videos

  • CONGRUENT TRIANGLE

    RD SHARMA|Exercise All Questions|291 Videos

Similar Questions

Explore conceptually related problems

Prove that the line joining the mid-point of a chovd to the centre of the circle passes through the mid-point of the corresponding minor arc.

prove that the line joining the mid-point of two equal chords of a circle subtends equal angles with the chord.

Prove that the line segment joining the points of contact of two parallel tangents of a circle, passes through its centre.

Prove that the segment joining the point of contact of two parallel tangents passes through the centre.

If a line segment joining mid-points of two chords of a circle passes through the centre of the circle, prove that the two chords are parallel.

The chord of a circle which passes through the centre is___the radius

Prove that the line joining the mid-points of the two sides of a triangle is parallel to the third side.

Prove that the perpendicular at the point of contact to the tangent to a circle passes through the centre.

Prove that the line segment joining the mid points of two side of a triangle is parallel to the third side and equal to half of it.

The line joining the mid-points of two sides of a triangle is parallel to the third side.

RD SHARMA-CIRCLE -All Questions
  1. Prove that the right bisector of a chord of a circle, bisects the c...

    Text Solution

    |

  2. Prove that the perpendicular bisector of a chord of a circle always ...

    Text Solution

    |

  3. Prove that the line joining the mid-points of two parallel chords of a...

    Text Solution

    |

  4. Two circles of radil 5c m and 3c m intersect at two points and the dis...

    Text Solution

    |

  5. Two circles are drawn with sides A B ,A C of a triangle A B C as diame...

    Text Solution

    |

  6. Two circle intersect in Aa n dBa n dA Ca n dA D are respectively the d...

    Text Solution

    |

  7. Any angle subtended by a minor arc in the alternate segment is acute ...

    Text Solution

    |

  8. The arc of a circle subtending a right angle at any point of the circl...

    Text Solution

    |

  9. The angle in a semi-circle is a right angle.

    Text Solution

    |

  10. Angle in the same segment of a circle are equal.

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  13. In Figure., A B C is a triangle in which /B A C=30^0dot Show that B C ...

    Text Solution

    |

  14. Theorem:-7 If the line segment joining two points subtends equal angle...

    Text Solution

    |

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

    Text Solution

    |

  16. Draw the graph of the fuction 4x+3y=12,at what pt it cut the coordinat...

    Text Solution

    |

  17. If two equal chords of a circle in intersect within the circle, prove ...

    Text Solution

    |

  18. prove that the line joining the mid-point of two equal chords of a c...

    Text Solution

    |

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

    Text Solution

    |

  20. In Figure, equal chords A B and C D of a circle with centre O , cut at...

    Text Solution

    |