Home
Class 12
MATHS
By method, show that the quadrilateral w...

By method, show that the quadrilateral with vertices A(1,2,-1), B(8,-3,-4), C(5,-1,1),D(-2,1,4) is a parallelogram.

A

parallelogram

B

trapezium

C

kite

D

rhombus

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC FUNCTIONS

    NIKITA PUBLICATION|Exercise MCQs|404 Videos

Similar Questions

Explore conceptually related problems

Find the area of the quadrilateral with vertices A(1,2), B(2,2), C(3,3), D(5,3).

Find the area of the quadrilateral whose vertices are A(1,1),B(3,4),C(5,-2) and D(4,-7)

Show that A(1,-2),B(3,4),C(5,10),D(3,2) are the vertices of parallelogram.

The area of the quadrilateral ABCD where A (0,4,1) , B(2,3,-1), c (4,5,0)and D(2,6,2) is to :

The area of the quadrilateral ABCD where A(0,4,1), B(2,3,-1), C(4,5,0) and D(2,6,2), is equal to

By vector method,show that the four points (7,2,-3),(6,1,4),(-3,-4,-1) and (-2,-3,-8) are the vertices of a parallelogram.

Show that the coplanar points (-1,2,1),(1,-2,5),(4,-7,8) and( 2,-3,4) are the vertices of a parallelogram.

Show that points A(-1, 0) , B(-2,1) , C(1,3) and D(2,2) form a parallelogram .

Show that the points A(1,2,3),B(-1,-2,-1)C(2,3,2),D(4,7,6) are the vertices of a parallelogram.

Find the area of quadrilateral ABCD whose vertices are A(-3, -1), B(-2, -4), C(4, -1) and D(3, 4).

NIKITA PUBLICATION-VECTOR-MULTIPLE CHOICE QUESTIONS
  1. If the two adjacent sides of a parallelogram are given by hat(i)+2hat(...

    Text Solution

    |

  2. Let overset(to)(OA) = overset(to)(a), overset(to)(OB)= 10overset(to)(a...

    Text Solution

    |

  3. By method, show that the quadrilateral with vertices A(1,2,-1), B(8,-3...

    Text Solution

    |

  4. The lie segments joining the midpoints of the ajdacent sides of a quad...

    Text Solution

    |

  5. Which of the following is true?

    Text Solution

    |

  6. Which of the following is true?

    Text Solution

    |

  7. Which of the following is trues?

    Text Solution

    |

  8. Which of the following is true regarding the diagonals of a parallelog...

    Text Solution

    |

  9. ABCD is a rhombus and P ,Q ,R ,S are the mid-points of A B ,B C ,C D ,...

    Text Solution

    |

  10. In quadrilateral ABCD, if overline(AB)=overline(CD), then it is

    Text Solution

    |

  11. In the quadrilateral ABCD :

    Text Solution

    |

  12. Let square PQRS be a quadrilateral. If M and N are the mid-points of t...

    Text Solution

    |

  13. ABCD is a quadrilateral and E is the point of intersection of the line...

    Text Solution

    |

  14. If hat(i)+hat(j)-hat(k), 2hat(i)+3hat(j), 3hat(i)+5hat(j)-2hat(k) and ...

    Text Solution

    |

  15. E and F are mid-points of sides of AD and BC respectively of quadrila...

    Text Solution

    |

  16. Which of the following is trues?

    Text Solution

    |

  17. OABC is a tetrahedron D and E are the mid points of the edges vec (OA)...

    Text Solution

    |

  18. If M and N are the mid-points of the diagonals AC and BD respectively ...

    Text Solution

    |

  19. ABCD is a rhombus and P, Q, R and S are wthe mid-points of the side...

    Text Solution

    |

  20. If P, Q are the mid-points of the diagonals AC and BD of a quadrilater...

    Text Solution

    |