Home
Class 12
MATHS
In the quadrilateral ABCD, the diagonals...

In the quadrilateral ABCD, the diagonals AC and BD are equal and perpendicular to each other. What type of a quadrilateral is ABCD?

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC RATIOS FOR COMPOUND, MULTIPLE, SUB-MULTIPLE ANGLES, AND TRANSFORMATION FORMULAS

    CENGAGE ENGLISH|Exercise Multiple Correct Answers Type|6 Videos
  • VECTORS TRIPLE PRODUCTS, RECIPROCAL SYSTEM OF VECTORS

    CENGAGE ENGLISH|Exercise DPP 2.4|20 Videos

Similar Questions

Explore conceptually related problems

In a quadrilateral ABCD, it is given that AB |\|CD and the diagonals AC and BD are perpendicular to each other. Show that AD.BC >= AB. CD .

Name the quadrilaterals whose diagonals: bisect each other are perpendicular bisector of each other are equal

In a quadrilateral ABCD, vec(AB) + vec(DC) =

In a quadrilateral ABCD, AB= AD and CB= CD. Prove that: AC is perpendicular bisector of BD

In quadrilateral ABCD, the diagonals AC and BD intersect each other at point O. If AO = 2CO and BO = 2DO, show that: DeltaAOB is similar to DeltaCOD .

If the diagonals of a quadrilateral bisect each other, then the quadrilateral is a parallelogram.

In the figure above, what is the area of quadrilateral ABCD?

In quadrilateral ABCD, AB=DC and AD=BC. Prove that the sides AB and DC are parallel to each other.

In quadrilateral ABCD, the diagonals AC and BD intersect each other at point O. If AO = 2CO and BO = 2DO, show that: OA xx OD = OB xx OC .

State True or False If the diagonals of a quadrilateral bisect each other at right angle, the quadrilateral is a square.

CENGAGE ENGLISH-VECTOR ALGEBRA-All Questions
  1. Find the angle between the vectors vec a= hat i+hat j-hat k and vec b=...

    Text Solution

    |

  2. O A B C is regular tetrahedron in which D is the circumcentre of O...

    Text Solution

    |

  3. In the quadrilateral ABCD, the diagonals AC and BD are equal and perpe...

    Text Solution

    |

  4. If vece(1),vece(2),vece(3)and vecE(1),vecE(2),vecE(3) arwe two sets of...

    Text Solution

    |

  5. Find the angle between the vectors vec a= hat i+hat j-hat k and vec b=...

    Text Solution

    |

  6. Given the vectors vec A , vec B ,a n d vec C form a triangle such tha...

    Text Solution

    |

  7. If vec a , vec ba n d vec c are three mutually perpendicular vecto...

    Text Solution

    |

  8. Let a three dimensional vector vec V satisfy the condition, 2 vec ...

    Text Solution

    |

  9. If vec a=3 hat i- hat j-4 hat k , vec b=2 hat i+4 hat j-3 hat k and ...

    Text Solution

    |

  10. Let vec O A= vec a , hat O B=10 vec a+2 vec ba n d vec O C= vec b ,w ...

    Text Solution

    |

  11. If vec a , vec b , vec c are unit vectors such that vec a. vec b=0= ...

    Text Solution

    |

  12. If vec x , vec y are two non-zero and non-collinear vectors satisfy...

    Text Solution

    |

  13. Let vec a=alpha hat i+2 hat j-3 hat k , vec b=alpha hat i+2alpha hat ...

    Text Solution

    |

  14. Let vec a , vec b a n d vec c be three vectors having magnitudes 1...

    Text Solution

    |

  15. Two vectors in space are equal only if they have equal component in ...

    Text Solution

    |

  16. Let vec a= hat i- hat j , vec b= hat j- hat ka n d vec c= hat k- hat ...

    Text Solution

    |

  17. If vectors vec aa n d vec b are two adjacent sides of a parallelogr...

    Text Solution

    |

  18. If vec axx( vec bxx vec c) is perpendicular to ( vec axx vec b)xx vec...

    Text Solution

    |

  19. [(vecaxxvecb) (veccxxvecd) (vecexxvecf)]is equal to (a)[vecavecbvec...

    Text Solution

    |

  20. vec ba n d vec c are non-collinear if vec axx( vec bxx vec c)+( vec a...

    Text Solution

    |