Home
Class 12
MATHS
E and F are mid-points of sides of AD an...

E and F are mid-points of sides of AD and BC respectively of quadrilateral ABCD having vertices `A(1, 2, 1), B(-2, 4, -1), C(-1, 3, 2), D(5, -1, 6)`, then

A

EF is parallel to AB

B

EF is parallel to CD

C

EF is a parallel to AB and CD

D

EF is not a parallel to AB and CD

Text Solution

Verified by Experts

The correct Answer is:
C
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 a quadrilateral ABCD having vertices at A(l, 2), B(1, 0), C(4,0) and D(4,4).

Find the area of the quadrilateral ABCD having vertices underset A(1,1),B(7,B(7,-3),C(12,2), and D(7,21)

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

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

Find the area of the quadrilateral ABCD whose vertices are A(1,0),B(5,3),C(2,7) and D(-2,4)

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 :

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

Find the area of the quadrilateral ABCD whose vertices are respectively A(1,1),B(7,-3),C(12,2) and D(7,21)

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.

NIKITA PUBLICATION-VECTOR-MULTIPLE CHOICE QUESTIONS
  1. ABCD is a quadrilateral and E is the point of intersection of the line...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  4. Which of the following is trues?

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  9. If ABCD is a quadrilateral, then 2overline(AB)+3overline(BC)+2overline...

    Text Solution

    |

  10. If ABCD is a square, then bar(AB) + 2 bar(BC) + 3 bar(CD) + 4 bar(DA...

    Text Solution

    |

  11. ABCD is a parallelogram with AC and BD as diagonals. Then, A vec C - ...

    Text Solution

    |

  12. Let ABCD is a parallelogram and vecAC, vecBD be its diagonal, then vec...

    Text Solution

    |

  13. ABDC is a parallelogram and P is the point of intersection of its diag...

    Text Solution

    |

  14. ABCD is a parallelogram and O is the point of intersection of its diag...

    Text Solution

    |

  15. In parallelogram ABCD,if P, Q are mid-points of BC and CD respectively...

    Text Solution

    |

  16. If A B C D is a rhombus whose diagonals cut at the origin O , then ...

    Text Solution

    |

  17. If PQRST is a pentagon, then overline(PQ)+overline(PR)+overline(PS)-ov...

    Text Solution

    |

  18. ABCDE is a pentagon. The resultant of the vectors overline(AB), overli...

    Text Solution

    |

  19. If ABCDE is a pentago, then overline(AB)+overline(BC)+overline(CD)+ove...

    Text Solution

    |

  20. overline(a), overline(b) are vectors, overline(AB), overline(BC) deter...

    Text Solution

    |