Home
Class 11
MATHS
Given three points A(-4,6,10),B(2,4,6) a...

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

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

(a)Consider the points A(3,-2,4),B(1,1,1) and C(-1,4,-2).Using distance formula prove the points are collinear.

Consider the points A (3,2,-4), B (5,4,-6) and C (9,8,-10) Using section formula, prove that A, B, C are collinear.

Consider the points A(3,2,4), B(5,8,0( and C(4,5,2). Using only distance formula prove that A, B and C are collinear. Also prove that C is the mid point of AB.

Consider the points A (2,4,5), B(-1,2,6) and C(-7,-2,8) Prove that A,B,C are collinear. Also find the ratio in which B divides AC

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.

Given the position vectors of three points as A(i-j+k),B(4i+5j+7k)C(3i+3j+5k) . Prove that A,B and C are collinear points.

Consider the points A(3,2,-4),B(5,4,-6) and C(9,8,-10).(i)Find AB,BC and AC and show that A,B,C are collinear.

Consider the points A (1,-1,3), B(2,-4,5) and C(5,-13,11).Prove that A,B,C are collinear

Consider the points A (5,1) ,B (1,-1) and C (11,4) Saji proved A,B and C are collinear by using slope. Write the steps written by Saji.

MAXIMUM PUBLICATION-INTRODUCTION TO THREE DIMENSIONAL GEOMETRY-EXAMPLE
  1. If the centroid of the triangle ABC is (1,1,1) and A and B are (3,-5,7...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  4. Name the octants in which the points A(1,6,-6) and B(-1,-6,-6). Find t...

    Text Solution

    |

  5. If P is a point in YZ-plane,then its x coordinate is………..

    Text Solution

    |

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

    Text Solution

    |

  7. Find the distance between the points (2,-1,3) and (-2,1,3)

    Text Solution

    |

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

    Text Solution

    |

  9. Name the octant in which the points (3,-2,1) and (-5,-6,1) lie.

    Text Solution

    |

  10. Find the distance between the points P(1,-3,4) and Q(-4,1,2).

    Text Solution

    |

  11. Find the centroid of the triangle with vertices (3,-5,7),(-1,7,-6) an...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |