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

Find the coordinates of the point which divides the line segment joining the points '(-2,3 , 5)' and '(1,-4,6)' in the ratio
Q1)2:3 internally
Q2)'2: 3' externally.

Text Solution

Verified by Experts

=(2 xx 1-3 xx-22-3, 2 xx-4-3 xx 32-3, 2 xx 6-3 xx 52-33)=(-8,17,3). .[.. using ..(mx_2-nx_1~m-n, m y_2-ny_1~m-n, mz_2-nz_1~m-n)].
Promotional Banner

Topper's Solved these Questions

  • CONIC SECTIONS

    V PUBLICATION|Exercise Question Bank|88 Videos
  • LIMITS AND DERIVATIVES

    V PUBLICATION|Exercise QUESTION BANK|106 Videos

Similar Questions

Explore conceptually related problems

Find the coordinate of the points which divides the line segment joining the points (-2,3,5) and (1,-4,6) in the ration 2:3 internally.

Find the co-ordinate of the point which divides the line segment joining the points (-2,3,5) and (1,-4,6) in the ratio 2:3 externally.

Find the coordinates of the point which divides the line segment joining the point '(1,-2,3)' and '(3,4,-5)' in the ratio '2: 3' Q1)internally Q2)externally.

Find the coordinate of the point which divides the line segment joining the points (-2,3,5) and (1,-4,6) internally in the ratio of 2:3 .

Find the coordinate of the point which divides the line segment joining the points (3,-2,5) and (3,4,2) in the ratio 2:1 externally

Find the coordinate of the point which divides the line segment joining the points (3,-2,5) and (3,4,2) in the ratio 2:1 internally

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 divides the segment joining the point (1,-2,3) and (3,4,-5) in the ratio 2:3.(ii)Externally.

V PUBLICATION-INTRODUCTION TO THE DIMENSIONAL GEOMETRY-Question Bank
  1. Write the coordinate of the centroid of the triangle whose vertices ar...

    Text Solution

    |

  2. Consider a point A(4,8,10) in space.Find the ratio in which the line s...

    Text Solution

    |

  3. Find the coordinates of the point which divides the line segment joini...

    Text Solution

    |

  4. Given that P(3,2,-4), Q(5,4,-6) and R(9,8,-10) are collinear. Find the...

    Text Solution

    |

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

    Text Solution

    |

  6. Using section formula, show that the points A(2,-3,4) , B(-1,2,1) and ...

    Text Solution

    |

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

    Text Solution

    |

  8. 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

    |

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

    Text Solution

    |

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

    Text Solution

    |

  11. Three vertices of a parallelogram ABCD are A(3,-1,2), B(1,2,-4) and C...

    Text Solution

    |

  12. Find the lengths of the medians of the triangle with vertices A(0,0,6...

    Text Solution

    |

  13. If the origin is the centroid of the triangle PQR with vertices P(2a,2...

    Text Solution

    |

  14. Find the coordinates of a point on y -axis which are at a distance of ...

    Text Solution

    |

  15. Find the equation of set of point P such that P A^2+P B^2=2 k^2, where...

    Text Solution

    |

  16. Find the distance between the points P(-2,4,1).and Q(1,2,-5).

    Text Solution

    |

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

    Text Solution

    |

  18. Determine the point in X Y plane which is equidistant from three point...

    Text Solution

    |

  19. Find the locus of the point which is equidistant from the point A(0,2,...

    Text Solution

    |

  20. Show that the point A(0,1,2), B(2,-1,3) and C(1,-3,1) are vertices of ...

    Text Solution

    |