Home
Class 12
MATHS
Show that the points A ( 3 , 2 , -4) , ...

Show that the points A ( 3 , 2 , -4) , B ( 5 , 4 , -6) and C ( 9 , 8 , -10) are collinear. Also find the ratio in which C divides the line-segment `overline(AB)` .

Text Solution

Verified by Experts

The correct Answer is:
`3 : 2 ` (externally)
Promotional Banner

Topper's Solved these Questions

  • INTRODUCTION TO THREE-DIMENSIONAL COORDINATE GEOMETRY

    CHHAYA PUBLICATION|Exercise Short Answer Type Questions|26 Videos

  • INTRODUCTION TO THREE-DIMENSIONAL COORDINATE GEOMETRY

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Exams ( A M . C . Q)|5 Videos

  • INTRODUCTION TO THREE-DIMENSIONAL COORDINATE GEOMETRY

    CHHAYA PUBLICATION|Exercise Multiple Choice Questions|18 Videos

  • INTEGRATION BY PARTS

    CHHAYA PUBLICATION|Exercise Assertion-Reason Type|2 Videos

  • LAWS OF INDICES

    CHHAYA PUBLICATION|Exercise Long Answer Type Questions|6 Videos

Similar Questions

Explore conceptually related problems

Using section formula, show that the points A (3 , 2 , -4) , b ( 5 , 4 , -6) and C ( 9 , 8 , -10) are collinear . Also find the ratio in which the point B divides the line-segment overline(AC) .

Show that the points A (4 , 7 , -6) , B (2 , 5 , -4) and C ( 1 , 4 , -3) are collinear.

Given that P(3,2,-4) Q(5,4-6) and R(9,8,-10) are collinear find the ratio in which Q divides PR

If A(3,2,-4),B(5,4,-6)a n dC(9,8,-10) are three collinear points, then find the ratio in which point C divides A Bdot

Given that P (3,2,-4), Q (5,4,-6) & R (9,8,-10) are collinear. Find the ratio in which Q divides PR

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

Show that the points A(1,-2,-8),B(5,0,-2)a n dC(11,3,7) are collinear, and find the ratio in which B divides A Cdot

Show that the points A(1,-2,-8),B(5,0,-2)andC(11,3,7) are collinear , and find the ratio in which B divides AC.

Applying section formulae show that the points A(4 , 7 , -6) , B ( 2, 5 , - 4) and C (1 , 4 , -3) are collinear .

The coordinates of the points A,B,C and D are (-2,3), (8,9), (0,4) and (3,0) respectively . Find the ratio in which the line -segment overline(AB) is divided by the line -segment overline(CD) .

CHHAYA PUBLICATION-INTRODUCTION TO THREE-DIMENSIONAL COORDINATE GEOMETRY -Very Short Answer Type Questions
  1. Find the coordiantes of the point in the xy-plane which is equiistant ...

    Text Solution

    |

  2. If the distance between the points ( x , - 1 , 2) and (- 4 , 1 , 5) is...

    Text Solution

    |

  3. Show that the points A ( 3 , 2 , -4) , B ( 5 , 4 , -6) and C ( 9 , 8 ...

    Text Solution

    |

  4. Find the coordinates of the points on y - axis which are at a distance...

    Text Solution

    |

  5. Find the coordinates of the point in xy- plane which is equidistant fr...

    Text Solution

    |

  6. Find the coordinates of points on z-axis which are at a distance of 7...

    Text Solution

    |

  7. Determined the equation to the locus of the point which is equidistant...

    Text Solution

    |

  8. Find the coordinates of the point which is equidistant from the points...

    Text Solution

    |

  9. Find the equation to the locus of the point whose distance from the po...

    Text Solution

    |

  10. Find the perimeter of the triangle whose vertices are ( 0 , 1 , 2) , ...

    Text Solution

    |

  11. Find the images of the point ( 3 , -4 , 6) with respect to yz-...

    Text Solution

    |

  12. Find the images of the point ( 3, - 4 , 6) with respect to zx-plan...

    Text Solution

    |

  13. Find the images of the point (3, - 4 , 6) with respect to xy - pla...

    Text Solution

    |

  14. Prove that the points ( 4 , 7 , 6) , ( 2 , 3 , 2 ) , ( - 1, -2, -1) ...

    Text Solution

    |

  15. Three consecutive vertices of a parallelogram are ( 1 , 2, - 4) , ( -...

    Text Solution

    |

  16. Two vertices of the parallelogram ABCD are A( 8 , 14 , 12) and B( ...

    Text Solution

    |

  17. If (x(1),y(1),z(1)) , (x(2),y(2),z(2)) , (x(3) ,y(3),z(3)) and (x...

    Text Solution

    |

  18. Determine the coordinates of the point which is equiistant from the ...

    Text Solution

    |

  19. Find the distance of the point ( 2 , 4 , 3) from the x-axis and from t...

    Text Solution

    |

  20. Find the equation to the locus of a point the sum of the squares of w...

    Text Solution

    |