Home
Class 10
MATHS
In Figure, a quadrilateral ABCD is drawn...

In Figure, a quadrilateral ABCD is drawn to circumscribe a circle .
Prove that
`AB+CD=BC+AD`

Promotional Banner

Topper's Solved these Questions

  • CIRCLES

    EDUCART PUBLICATION|Exercise SHORT ANSWER (SA-II) Type Questions|18 Videos

  • CIRCLES

    EDUCART PUBLICATION|Exercise LONG ANSWER Type Questions|13 Videos

  • CIRCLES

    EDUCART PUBLICATION|Exercise OBJECTIVE Type Questions (Very Short Questions)|10 Videos

  • CBSE TERM-1 SAMPLE PAPER 2

    EDUCART PUBLICATION|Exercise Section -C|7 Videos

  • CONSTRUCTIONS

    EDUCART PUBLICATION|Exercise LONG ANSWER Type Questions|6 Videos

Similar Questions

Explore conceptually related problems

A quadrilateral ABCD is drawn to circumscribe a circle.Prove that AB+CD=AD+BC

In figure, a quadrilateral ABCD is drawn to circumscribe a circle such that its sides AB, BC, CD and AD touch the circle at P, Q, R and S respectively. If AB = x cm, BC = 7 cm, CR = 3cm and AS = 5cm, then x = ______.

In Fig.2, a quadrilateral ABCD is drawn to circumscribe a circle, with centre O, in such a way that the sides AB, BC, CD and DA touch the circle at the points P, Q, R and S respectively. Prove that AB + CD = BC + DA.

If a hexagon ABCDEF circumscribe a circle, prove that AB+CD+EF=BC+DE+FA

In a hexagon ABCDEF circumscribe a circle, prove that AB+CD+EF=BC+DE+FA.

If the sides of a quadrilateral ABCD touch a circle prove that AB+CD=BC+AD.

In Figure,diagonal AC of a quadrilateral ABCD bisects the angles A and C. Prove that AB=AD and CB=CD

In the figure, diagonal AC of a quadrilateral ABCD bisects the angles A and C. Prove that AB = AD and CB = CD.

EDUCART PUBLICATION-CIRCLES-SHORT ANSWER (SA-I) Type Questions
  1. In Figure, a quadrilateral ABCD is drawn to circumscribe a circle . ...

    Text Solution

    |

  2. In Fig , O is the centre of a circle , PQ is a chord and the tangent P...

    Text Solution

    |

  3. In the figure, find the perimeter of Delta ABC, if AP =12 cm.

    Text Solution

    |

  4. In the given, if AB = AC. prove the BE = EC.

    Text Solution

    |

  5. Prove that the tangents drawn at the ends of a diameter of a circle...

    Text Solution

    |

  6. In the given figure, PA and PB are tangents to the circle from an exte...

    Text Solution

    |

  7. In the figure, O is the centre of the circle and LN is a diameter. If ...

    Text Solution

    |

  8. The incircle of an isosceles triangle ABC, in which AB = AC, touches t...

    Text Solution

    |

  9. From a point P, two tangents PT and PS are drawn to a circle with cent...

    Text Solution

    |

  10. In the given figure, a circle inscribed in a triangle ABC, touches the...

    Text Solution

    |

  11. In Fig AP and BP are tangents to a circle with centre O, such that AP ...

    Text Solution

    |

  12. Prove that the rectangle circumscribing a circle is a square

    Text Solution

    |

  13. In Fig.2, a quadrilateral ABCD is drawn to circumscribe a circle, with...

    Text Solution

    |

  14. In Figure 1, O is the centre of a circle, PQ is a chord and PT is the ...

    Text Solution

    |

  15. P Q is a tangent drawn from a point P to a circle with centre O ...

    Text Solution

    |

  16. In Fig. two tangents RQ and RP are drawn from an external point R to ...

    Text Solution

    |

  17. Prove that the tangents drawn at the end points of a chord of a circle...

    Text Solution

    |

  18. There are two concentric circles with centre O. PRT and PQS are tangen...

    Text Solution

    |

  19. A circle touches the side BC of Delta ABC at F and touches AB and AC a...

    Text Solution

    |

  20. From the external point P tangents PA and PB are drawn to a circle wit...

    Text Solution

    |