Home
Class 10
MATHS
Prove that the parallelogram circumscrib...

Prove that the parallelogram circumscribing a circle is a rhombus.

Text Solution

Verified by Experts

The correct Answer is:
ABCD is a rhombus.
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

If all the side of a parallelogram touch a circle, show that the parallelogram is a rhombus.OR Prove that a parallelogram circumscribing a circle is a rhombus.

Assertion(A) If two tangents are drawn to a circle from an external point then they subtend equal angles at the centre. Reason (R ) A parallelogram circumscribing a circle is a rhombus

Prove that the rectangle circumscribing a circle is a square

Prove that opposite sides of a quadrilateral circumscribing a circle subtend supplementary angles at the centre of the circle.

Prove that opposite sides of a quadrilateral circumscribing a circle subtend supplementary angles at the centre of the circle.

Prove that opposite sides of a quadrilateral circumscribing a circle,subtend supplementary angles at the centre of a circle.

Rhombus a parallelogram having all sides equal is called a rhombus.

Rhombus a parallelogram having all sides equal is called a rhombus.

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

EDUCART PUBLICATION-CIRCLES-SHORT ANSWER (SA-I) Type Questions
  1. From a point P, two tangents PT and PS are drawn to a circle with cent...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  13. If the angle between two tangents drawn from an external point P to a ...

    Text Solution

    |

  14. In the figure, angle ADC = 90^@, BC = 38" cm", CD = 28" cm" and B...

    Text Solution

    |

  15. चित्र में एक वृत्त त्रिभुज ABC की भुजा BC को प पर स्पर्श ...

    Text Solution

    |

  16. Out of the 2 concentric circle the radius of the outer circle is 5 cm ...

    Text Solution

    |

  17. In Fig. 10.21, two circles touch each other at the point C . Prove ...

    Text Solution

    |

  18. Prove that the parallelogram circumscribing a circle is a rhombus.

    Text Solution

    |

  19. In figure, common tangents AB and CD to two circles intersect at E. P...

    Text Solution

    |

  20. In Fig , AB is a chord of a circle , with centre O , such that AB = 16...

    Text Solution

    |