Home
Class 12
MATHS
Prove that; If the diagonals of a quadri...

Prove that; If the diagonals of a quadrilateral bisect each other at right angles, then it is a rhombus.

Promotional Banner

Topper's Solved these Questions

  • RELATIONS

    RD SHARMA ENGLISH|Exercise All Questions|197 Videos
  • SCALAR TRIPLE PRODUCT

    RD SHARMA ENGLISH|Exercise All Questions|76 Videos

Similar Questions

Explore conceptually related problems

Show that if the diagonals of a quadrilateral bisect each other at right angles, then it is a rhombus.

Show that if the diagonals of a quadrilateral bisect each other at right angles, then it is a rhombus.

Show that if the diagonals of a quadrilateral are equal and bisect each other at right angle, then it is a square.

Show that if the diagonals of a quadrilateral are equal and bisect each other at right angles, then it is a square

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

Show that the diagonals of a square are equal and bisect each other at right angles.

Show that the diagonals of a square are equal and bisect each other at right angles.

Show that the diagonals of a square are equal and bisect each other at right angles.

The diagonals of a parallelogram bisect each other.

If the diagonals of a quadrilateral bisect each other at right angle, prove that the quadrilateral is a rhombus. A rhombus has all its four sides equal.

RD SHARMA ENGLISH-SCALAR OR DOT PRODUCT-All Questions
  1. If hat a and hat b are unit vectors inclined at an angle theta , the...

    Text Solution

    |

  2. (Pythagoras's Theorem) Prove by vector method that in a right angled...

    Text Solution

    |

  3. Prove that; If the diagonals of a quadrilateral bisect each other a...

    Text Solution

    |

  4. prove using vectors: The quadrilateral obtained by joining mid-poin...

    Text Solution

    |

  5. prove by vector method that the sum of the squares of the diagonals...

    Text Solution

    |

  6. prove that the diagonals of a rectangle are perpendicular if and on...

    Text Solution

    |

  7. Using analytical geometry, prove that the diagonals of a rhombus are ...

    Text Solution

    |

  8. If | vec a|=a and | vec b|=b , prove that ( vec a/(a^2)- vec b/(b^2))^...

    Text Solution

    |

  9. If vec a= hat i- hat j and vec b=- hat j+2 hat k , find ( vec a-2 ve...

    Text Solution

    |

  10. Find the angles which the vector vec a= hat i- hat j+sqrt(2) hat k ma...

    Text Solution

    |

  11. Dot product of a vector with hat i+ hat j-3 hat k , hat i+3 hat j-2 h...

    Text Solution

    |

  12. Find vec adot vec b , when (i) vec a= hat i-2 hat j+ hat k and ve...

    Text Solution

    |

  13. For what value of lambda are the vector vec a and vec b perpendi...

    Text Solution

    |

  14. If vec a and vec b are two vectors such that | vec a|=4,| vec b|=3 a...

    Text Solution

    |

  15. Find the angles of a triangle whose vertices are A(0,-1,-2),B(3,1,4...

    Text Solution

    |

  16. Find the projection of vec b+ vec c on vec a , where vec a = 2 hat ...

    Text Solution

    |

  17. Find the values of x and y if the vectors vec a=3 hat i+x hat j...

    Text Solution

    |

  18. In a quadrilateral A B C D , prove that A B^2+B C^2+C D^2+D A^2=A C^2+...

    Text Solution

    |

  19. If vec a and vec b are two non-collinear unit vectors such that | ...

    Text Solution

    |

  20. If vec a , vec b are two vectors such that | vec a+ vec b|=| vec b...

    Text Solution

    |