Home
Class 9
MATHS
Two equal chord AB and CD of a circle wi...

Two equal chord AB and CD of a circle with centre O, intersect each other at point P inside the circle.

Prove that:
` BP = DP`

Text Solution

Verified by Experts

The correct Answer is:
`AB - AP = CD - CP`
Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

If chords AB and CD of a circle intersect each other at a point inside the circle, prove that : PA xx PB = PC xx PD .

The equal chords AB and CD of circle with centre O, when produced, meet at P outside the circle. Prove that : PA = PC.

The equal chords AB and CD of circle with centre O, when produced, meet at P outside the circle. Prove that : PB = PD

In the figure, two equal chords AB and CD of a circle with centre O, intersect each other at E, Prove that AD=CB

In Figure two chords AB and CD of a circle intersect each other at the point P (when produced) outside the circle. Prove that (i) DeltaP A C~ DeltaP D B (ii) P A * P B = P C * P D

Chords AB and CD of a circle with centre O, intersect at a point E. If OE bisects angle AED, prove that chord AB = chord CD.

In the adjoining figure. If two equal chords AB and CD of a circle intersect each other at E. then prove that chords AC and DB are equal.

AB and CD are two equal chords of a circle with centre O which intersect each other at right angle at point P. If OM bot AB and ON bot CD, show that OMPN is a square.

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.

AB and CD are two equal chords of a circle with centre O which intersect each other at right angle at P. If OM bot AB and ON bot CD, show that OMPN is a square.

ICSE-CIRCLES -TOPIC-2
  1. Two equal chord AB and CD of a circle with centre O, intersect each ot...

    Text Solution

    |

  2. In the given figure, an equilateral triangle ABC is inscribed in a cir...

    Text Solution

    |

  3. In the given on equilateral triangle ABC is inscribed in a ciecle with...

    Text Solution

    |

  4. In the given the length of arcs AB and BC are in the ratio 3:2. If a...

    Text Solution

    |

  5. In the given the length of arcs AB and BC are in the ratio 3:2. If a...

    Text Solution

    |

  6. Draw the circles of different radii. How many points, these circles ca...

    Text Solution

    |

  7. Suppose you are given a circle. Describe a method by which you can fin...

    Text Solution

    |

  8. The circumference of a circle, with centre O, is divided into three ar...

    Text Solution

    |

  9. In the given arc AB= twice are BC and angle AOB = 80 ^(@) find: angl...

    Text Solution

    |

  10. In the given arc AB= twice are BC and angle AOB = 80 ^(@) find: angl...

    Text Solution

    |

  11. In the given AB is a side of regular pentagon and BC is a side of regu...

    Text Solution

    |

  12. In the given AB is a side of regular pentagon and BC is a side of regu...

    Text Solution

    |

  13. In the given AB is a side of regular pentagon and BC is a side of regu...

    Text Solution

    |

  14. In the given AB is a side of regular pentagon and BC is a side of regu...

    Text Solution

    |

  15. In the given AB is a side of regular pentagon and BC is a side of regu...

    Text Solution

    |

  16. In the given AB is a side of regular pentagon and BC is a side of regu...

    Text Solution

    |

  17. In the given AB= BC = DC and angle AOB = 50^(@) angle AOC

    Text Solution

    |

  18. In the given AB= BC = DC and angle AOB = 50^(@) angle AOD

    Text Solution

    |

  19. In the given AB= BC = DC and angle AOB = 50^(@) angle BOD

    Text Solution

    |

  20. In the given figure, AB = BC = DC and angleAOB = 50^(@) angleOA...

    Text Solution

    |

  21. In the given figure, AB = BC = DC and angleAOB = 50^(@) angleO...

    Text Solution

    |