Home
Class 11
MATHS
Find the coordinates of the points which...

Find the coordinates of the points which tisect the line segment joining the points `P(4,-2,-6)\ a n d\ Q(10 ,-16 ,6)dot`

Text Solution

Verified by Experts

Let `A (x_1, y_1, z_1)` and `B (x_2, y_2, z_2)` trisect the line segment joining the points `P (4, 2, -6) and Q (10, -16, 6).` A divides the line segment PQ in the ratio `1: 2.`
Upon comparing we get,
`x_1 = 4, y_1 = 2, z_1 = -6;`
...
Promotional Banner

Topper's Solved these Questions

  • HYPERBOLA

    RD SHARMA|Exercise Solved Examples And Exercises|72 Videos
  • LIMITS

    RD SHARMA|Exercise All Questions|300 Videos

Similar Questions

Explore conceptually related problems

Find the coordinates of the points which trisect the line segment joining the points P(4,2,-6) and Q(10,-16,6)

Find the coordinates of the points which trisect the line segment PQ formed by joining the points P(4,2,-6) and Q(10,-16,6)

Find the coordinates of the points which trisect the line segment joining the points (2, 3) and (6, 5) .

Find the coordinates of the points which trisect the line segment joining the points P(4,quad 2,quad -quad 6) and Qquad (10,quad 16,quad 6)

Find the coordinates of the points of trisection of the line segment joining the points (2,-2) and (-7,-4)

Find the coordinates of the points of trisection of the line segment joining the points A(-5, 6) and B(4, -3).

Find the coordinates of the point of bisection of the line segment joining the points (7, - 2) and (-5, -4).

Find the coordinates of the points which divide the line segment joining the points (-4,0) and (0,6) in four equal parts.

Find the coordinates of the point which divides the line segment joining the points A(5,-2) and B(9,6) in the ratio 3:1

Find the coordinates of the point which divides the line segment joining the points (5, -2) and (9, 6) internally and externally in the ration 3 : 1

RD SHARMA-INTRODUCTIONS TO 3-D COORDINATE GEOMETRY-Solved Examples And Exercises
  1. Find the centroid of a triangle, mid points of whose sides are (1,2...

    Text Solution

    |

  2. The centroid of a triangle ABC is at the point (1,1,1). If the coor...

    Text Solution

    |

  3. Find the coordinates of the points which tisect the line segment jo...

    Text Solution

    |

  4. Using section formula, show that the points A(2,-3,4),\ B(-1,2,1)\ a n...

    Text Solution

    |

  5. Given that P(3,2,-4),\ Q(5,4,-6)a n d\ R(9,8,-10) are collinear. Find ...

    Text Solution

    |

  6. Find the ratio in which the segment joining the points (4,8,10) and ...

    Text Solution

    |

  7. Write the distance of the point P(2,3,5) from the xy-plane.

    Text Solution

    |

  8. Write the distance of the point P(3,4,5) from z-axis.

    Text Solution

    |

  9. If the distance between the points P(a ,2,1)a n d\ Q(1,-1,1) is 5 unit...

    Text Solution

    |

  10. The coordinates of the mid points of sides AB, BC and CA of A B C are...

    Text Solution

    |

  11. Write the coordinates of the foot of the perpendicular from the point ...

    Text Solution

    |

  12. Write the length of the perpendicular drawn from the point P(3,5, 12) ...

    Text Solution

    |

  13. Write the coordinates of third vertex of a triangle having centroid at...

    Text Solution

    |

  14. What is the locus of a point (x , y , z) for which y=0, z=0?

    Text Solution

    |

  15. Find the ratio in which the line segment joining the points (2,4,5) an...

    Text Solution

    |

  16. Find the point on y-axis which is at a distance of sqrt(10) units from...

    Text Solution

    |

  17. Find the point on x-axis which is equidistant from the points A(3,2,2)...

    Text Solution

    |

  18. Find the coordinates of a point equidistant from the origin and pints ...

    Text Solution

    |

  19. Write the coordinates of the point P which is five sixth of the way fr...

    Text Solution

    |

  20. If a parallelepiped is formed by the planes drawn through the points ...

    Text Solution

    |