Home
Class 11
MATHS
The point A(5,-1,1), B(7,-4,7), C(1,-6,1...

The point A(5,-1,1), B(7,-4,7), C(1,-6,10), D(-1,-3,4) form

A

A parallelogram

B

A rhombus

C

A square

D

A rectangle

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • 3D-COORDINATE SYSTEM

    AAKASH SERIES|Exercise PRACTICE EXERCISE|40 Videos

  • 3D-COORDINATE SYSTEM

    AAKASH SERIES|Exercise ADDITIONAL EXERCISE|21 Videos

  • 3D COORDINATE SYSTEM

    AAKASH SERIES|Exercise ADDITIONAL PRACTICE EXERCISE (LEVEL - II PRACTICE SHEET (ADVANCED)) (Integer Type Questions)|1 Videos

  • APPENDICES (REVISION EXERCISE)

    AAKASH SERIES|Exercise MULTIPLE PRODUCT OF TWO VECTORS|21 Videos

Similar Questions

Explore conceptually related problems

Show that the points (5,-1,1),(7,-4,7),(1,-6,10) and (-1,-3,4) are the vertices of a rhombus.

The points A(2,-1,4),B(1,0,-1),C(1,2,3) and D(2,1,8) form a

Show that the four points (5,-1,1),(-1,-3,4) (1,-6,10) and (7,-4,7) taken in order form a rhombus.

The points (2,5,-4) , (4,7,-6) , (1,4,-3) are

Match the following {:(I.,"The points (3,2,1),(5,6,5),(2,1,2),(0,-3,-2) form","a) square "),(II.,"The points (1,2,2),(2,-1,0),(1,1,3),(0,4,5)form","b) rectangle"),(III.,"The points (1,2,4),(-2,2,1),(2,4,-3),(5,4,0) form","c) rhombus"),(IV.," The points (-2,4,1),(-1,5,5),(2,2,5),(1,1,1)form","d) parallelogram"):}

I : The points (-2,3,5 ), (1,,2,3 ),(7,0,-1 ) are collinear. II: The points (2 ,-1,1 ) (1-3-5 ), (3,-4,-4 ) form an equilateral triangle.

The points (7, 1), (4, 4), (-2,-2), (1, -5) taken in order, form

Show that the points A(-1, -2), B(4, 3), C(2, 5) and D(- 3, 0) in that order form a rectangle.

Show that the point A(-4, 9, 6), B(-1,6,6), C(0,7,10) form a right angled isosceles triangle.

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

AAKASH SERIES-3D-COORDINATE SYSTEM-EXERCISE-1
  1. The points (3,2,-4 ),( 5,4,-6 ) , (9,8,-10 )are

    Text Solution

    |

  2. The point A(2,9,12), B(1,8,8),C(-2,11,8) and D(-1,12,12) form

    Text Solution

    |

  3. The point A(5,-1,1), B(7,-4,7), C(1,-6,10), D(-1,-3,4) form

    Text Solution

    |

  4. The 1^(st) point of trisection of segment joining (3,-1,2) and (9,5,2)

    Text Solution

    |

  5. The ratio in which the line segmet joining the points (2,-4,3) and (-4...

    Text Solution

    |

  6. XOZ plane divides the join of (2,3,1 ) and (6,7,1 ) in the ratio

    Text Solution

    |

  7. Points A(3,2,4), B (33/8,28/5,38/5) and C(9,8,10) are given. The ratio...

    Text Solution

    |

  8. The harmonic conjugate of (2,3,4) with respect to the points (3,-2,2),...

    Text Solution

    |

  9. If the joining A(1,3,4) and B is divided by the point (12,3,5) in the ...

    Text Solution

    |

  10. If the xicoordinate of 'p' on the join of Q(2,2,1) and R(5,2,-2) is 4,...

    Text Solution

    |

  11. Text Solution

    |

  12. If (2,1,3), (3,2,5),(1,2,4) are the mid points of the sides BC,CA,AB, ...

    Text Solution

    |

  13. In a Delta ABC the mid points of the sides AB, BC,CA are respectively ...

    Text Solution

    |

  14. The point (2,-1,3) is the centroid of the triangle formed by the point...

    Text Solution

    |

  15. If (2,k,-1) is the centroid of the triangle with vertices (2,-1,2) (1...

    Text Solution

    |

  16. D(2,1,0) E(2,0,0) F(0,1,0) are mid points of the sides BC,CA,AB of Del...

    Text Solution

    |

  17. If the centriod of a triangle formed by the points (a,0,0),(0,b,0),(0,...

    Text Solution

    |

  18. In a Delta ABC vertex A, mid point of BC are (1,2,3) and (5/2,-5/2,0) ...

    Text Solution

    |

  19. The centroid of the tetrahedron ABCD divides the line joining the ver...

    Text Solution

    |

  20. If the xicoordinate of 'p' on the join of Q(2,2,1) and R(5,2,-2) is 4,...

    Text Solution

    |