Home
Class 11
MATHS
Using distance formula, show that the po...

Using distance formula, show that the points A(-3, 2, 4), B(- 1, 5, 9) and C (1, 8, 14) are collinear.

Promotional Banner

Topper's Solved these Questions

  • INTRODUCTION TO THREE DIMENSIONAL GEOMETRY

    MODERN PUBLICATION|Exercise EXERCISE|86 Videos

  • INFINITE SERIES

    MODERN PUBLICATION|Exercise EXAMPLE|10 Videos

  • LIMITS AND DERIVATIVES

    MODERN PUBLICATION|Exercise EXERCISE|334 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.

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

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

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

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

Verify that the points (3, - 2, 4), (1, 0, - 2) and (-1,2, - 8) are collinear.

Show that the points A(3,5,1), B(-1,0,8) and C(7,10,-6) are collinear.

Show that the points (2, 3, 4), (– 1, – 2, 1), (5, 8, 7) are collinear.

Show that the points A(1,-2,-8), B(5,0,-2) and C(11,3,7) are collinear.

MODERN PUBLICATION-INTRODUCTION TO THREE DIMENSIONAL GEOMETRY-EXERCISE
  1. Using distance formula, show that the points A(-3, 2, 4), B(- 1, 5, 9)...

    Text Solution

    |

  2. A point is on x-axis. What are its y-co-ordinate and z-co-ordinate ?

    Text Solution

    |

  3. A point is in the XZ-plane. What can you say about its y-co-ordinate ?

    Text Solution

    |

  4. In the figure, find the reflection of P(x, y, z) in the: XY-plane.

    Text Solution

    |

  5. In the figure, find the reflection of P(x, y, z) in the: YZ-plane.

    Text Solution

    |

  6. In the figure, find the reflection of P(x, y, z) in the: ZX-plane.

    Text Solution

    |

  7. Find the octant in which the following points lie : (- 3, 1, 2).

    Text Solution

    |

  8. Find the octant in which the following points lie : (3, 1, - 2) .

    Text Solution

    |

  9. Find the octant in which the following points lie : (- 3, 1, - 2) .

    Text Solution

    |

  10. Find the octant in which the following points lie : (- 3, - 1, - 2).

    Text Solution

    |

  11. Write the perpendicular distance of the point (x, y, z) from the three...

    Text Solution

    |

  12. The co-ordinates of a point are (1, -2, 7). Find the co-ordinates of t...

    Text Solution

    |

  13. Write the co-ordinates of the feet of perpendicular from the point (a,...

    Text Solution

    |

  14. Find the image of the point in the specified plane : (5,4,-3) in th...

    Text Solution

    |

  15. Find the image of the point in the specified plane : (-2,0,0) in the...

    Text Solution

    |

  16. Find the image of the point in the specified plane : (-3, 4, 7) in t...

    Text Solution

    |

  17. Find the image of the point in the specified plane : (- 7, 2, -1) in...

    Text Solution

    |

  18. Find the image of the point in the specified plane : (- 4,0, 1) in t...

    Text Solution

    |

  19. Find the perpendicular distances of the point P (a, b, c) from the co-...

    Text Solution

    |

  20. Planes are drawn parallel to co-ordinate planes through the points (3,...

    Text Solution

    |

  21. Fill in the blanks : The x-axis and y-axis, taken together, determin...

    Text Solution

    |