Home
Class 11
MATHS
Show that the points A(1,2,3),B(-1,-2,-1...

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

Promotional Banner

Topper's Solved these Questions

  • CONIC SECTIONS

    MAXIMUM PUBLICATION|Exercise EXAMPLE|65 Videos

  • LIMITS AND DERIVATIVES

    MAXIMUM PUBLICATION|Exercise EXAMPLE|113 Videos

Similar Questions

Explore conceptually related problems

Show that the points (2,3,4), (-1,-2,1), (5,8,7) are colinear

Verify the following: (-1,2,1) , (1,-2,5) , (4,-7,8) and (2,-3,4) are the vertices of a parllelogram.

Without using distance formula, show that points (-2,-1),(4,0),(3 ,3) and (-3 ,2) are the vertices of a parallelogram.

Consider the points A(1,2,8), B(0,3,4), C (1,1,3) and D(2,0,7) Prove that ABCD is a parallelogram

Show that the points 'A(2,3,-4), B(1,-2 , 3)' and 'C(3,8,-11)' are collinear

Show that the point A(0,1,2), B(2,-1,3) and C(1,-3,1) are vertices of an isosceles right angled triangle.

Let A(2,3),B(1,4),C(0,-2) and D(x,y) are vertices of a parallelogram ABCD. Find the value of x and y.

Without using distance formula, show that (-2, -1),(4,0),(3, 3) and (-3,2) are the vertices of a parallelogram.

Show that the points A(1,2,7),B(2,6,3) "and" C(3,10,-1) are collinear.

If 'A(2,-1)' B '(3,4), C(-2,3)' are the vertices of a parallelogram find the fourth vertex.

MAXIMUM PUBLICATION-INTRODUCTION TO THREE DIMENSIONAL GEOMETRY-EXAMPLE
  1. Find the centroid of the triangle with vertices (3,-5,7),(-1,7,-6) an...

    Text Solution

    |

  2. Show that the points (-2,3,5),(1,2,3) and (7,0,-1) are collinear.

    Text Solution

    |

  3. Find the coordinate of the points which divides the line segment joini...

    Text Solution

    |

  4. State whether the following is TRUE or FALSE. "The point (4,-2,-5) l...

    Text Solution

    |

  5. Find the equation of the set of points such that its distances from th...

    Text Solution

    |

  6. The distance between the point (1,-2,3) and (4,1,2) is……..

    Text Solution

    |

  7. The centroid of the triangle ABC is at the point (1,2,3). If the coord...

    Text Solution

    |

  8. Consider the points A(-2,3,5),B(1,2,3) and C(7,0,-1) Using the distanc...

    Text Solution

    |

  9. Consider the points A(-2,3,5),B(1,2,3) and C(7,0,-1) Find the ratio in...

    Text Solution

    |

  10. The x-coordinate of the point in the YZ plane is………..

    Text Solution

    |

  11. Find the ratio in which the YZ plane divides the line segment joining ...

    Text Solution

    |

  12. Find the distance between the points (2,3,5) and (4,3,1).

    Text Solution

    |

  13. Find the ratio in which the line segment joining the points A(4,8,10) ...

    Text Solution

    |

  14. A point in the XZ plane is ……… a) (1,1,1) b) (2,0,3)

    Text Solution

    |

  15. Show that the points A(1,2,3),B(-1,-2,-1), C(2,3,2) and D(4,7,6) are t...

    Text Solution

    |

  16. Which of the following lies in the sixth octant?

    Text Solution

    |

  17. Find the ratio in which the YZ-plane divides the line segment formed b...

    Text Solution

    |

  18. Which one of the following points lies in the sixth octant?

    Text Solution

    |

  19. Find the ratio in which the YZ-plane divides the line segment formed b...

    Text Solution

    |

  20. If (5/3,22/3,(-22)/3) is the centroid of /\PQR with vertices P(a,7,-...

    Text Solution

    |