Home
Class 11
MATHS
Prove by using distance formula that the...

Prove by using distance formula that the
`A(1,2,3)`,`B(-1,-1,-1)` and `C(3,5,7)` are collinear.

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

Using section formula, show that the points A(2,-3,4) , B(-1,2,1) and C(0,1/3, 2) are collinear

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

Using section formula, show that the points A (2,-3,4), B(-1,2,1) and C (0, 1/3 ,2) are collinear.

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

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

Consider the points A(-2,3,5) , B(1,2,3) and C(7,0,-1) Using the distance formula,show that the points A,B and C are collinear.

Using section formula, prove that the three points A(-2,3,5), B(1,2,3) and C (7,0,-1) are collinear.

Using vectors, show that the points A(1,2,7),B(2,6,3),C(3,10,-1) are collinear.

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

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

MAXIMUM PUBLICATION-INTRODUCTION TO THREE DIMENSIONAL GEOMETRY-EXAMPLE
  1. Find the distance between the following pair of points: (-3,7,2) and...

    Text Solution

    |

  2. Find the distance between the following pair of points: (-1,3,-4) an...

    Text Solution

    |

  3. Prove by using distance formula that the A(1,2,3),B(-1,-1,-1) and C(...

    Text Solution

    |

  4. Verify the following: (0,7,-10),(1,6,-6) and (4,9,-6) are the vert...

    Text Solution

    |

  5. Verify the following: (0,7,10),(-1,6,6) and (-4,9,6) are the verti...

    Text Solution

    |

  6. Verify the following: (-1,2,1),(1,-2,5),(4,-7,8) and (2,-3,4) are ...

    Text Solution

    |

  7. Find the equation of set points which are equidistant from the points ...

    Text Solution

    |

  8. Find the coordinate of the point which divides the line segment joinin...

    Text Solution

    |

  9. Find the coordinate of the point which divides the line segment joinin...

    Text Solution

    |

  10. Find the ratio in which the line joining the points (1,2,3) and (-3,4,...

    Text Solution

    |

  11. Find the coordinates of the points which trisect the line segment joi...

    Text Solution

    |

  12. Consider the triangle with vertices (0,7,-10),(1,6,-6) and (4,9,-6) ...

    Text Solution

    |

  13. Consider the triangle with vertices (0,7,-10),(1,6,-6) and (4,9,-6) ...

    Text Solution

    |

  14. Consider the triangle with vertices (0,7,-10),(1,6,-6) and (4,9,-6) ...

    Text Solution

    |

  15. Find the co-ordinates of the points which trisect the line segment jo...

    Text Solution

    |

  16. Find the locus of the set of points P such that the distance from A(2,...

    Text Solution

    |

  17. Write the coordinate of the centroid of the triangle whose vertices ar...

    Text Solution

    |

  18. If the centroid of the triangle ABC is (1,1,1) and A and B are (3,-5,7...

    Text Solution

    |

  19. Given three points A(-4,6,10),B(2,4,6) and C(14,0,-2) Find AB.

    Text Solution

    |

  20. Given three points A(-4,6,10),B(2,4,6) and C(14,0,-2) Prove that the...

    Text Solution

    |