Home
Class 12
MATHS
Show that the points 'A(2,3,-4), B(1,-2 ...

Show that the points 'A(2,3,-4), B(1,-2 , 3)' and 'C(3,8,-11)' are collinear

Promotional Banner

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    V PUBLICATION|Exercise QUESTION BANK|114 Videos

  • VECTOR ALGEBRA

    V PUBLICATION|Exercise QUESTION BANK|117 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.

Using section formula, prove that the three points A(-2,3,5), B(1,2,3) and C (7,0,-1) are collinear.

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

Show that the points A(1,2,7),B(2,6,3) "and" C(3,10,-1) are collinear.

Using vectors, show that the points A(1,2,7),B(2,6,3),C(3,10,-1) are collinear.

By using the concept of equation of a line, prove that the three points (3,0),(-2,-2) and (8,2) are collinear.

By using the concept of equation of a line, prove that the three points (3,0) , (-2,-2) and (8,2) are collinear.

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.

Show that the points A(1,2,3) , B(-1,-2,-1) , C(2,3,2) and D(4,7,6) are the vertices of a parallelogram.

V PUBLICATION-THREE DIMENSIONAL GEOMETRY-QUESTION BANK
  1. Find the direction cosines of the line passing through the followin...

    Text Solution

    |

  2. Find the direction cosines of x, y and z -axis

    Text Solution

    |

  3. Show that the points 'A(2,3,-4), B(1,-2 , 3)' and 'C(3,8,-11)' are col...

    Text Solution

    |

  4. If a lne makes angles. 90^@, 135^@, 45^@ with the x,y and Z−axes resp...

    Text Solution

    |

  5. Find the direction cosines of a line which makes equal angles with ...

    Text Solution

    |

  6. If a line has the direction ratios '-18,(12) ,-4', then what are its d...

    Text Solution

    |

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

    Text Solution

    |

  8. Find the direction cosines of the sides of the triangle whose vertices...

    Text Solution

    |

  9. Find the vector and Cartesian equations of the line through the point ...

    Text Solution

    |

  10. Find the vector equation for the line passing through the points (1, 0...

    Text Solution

    |

  11. The Cartesian equation of a line is (x+3)/2=(y-5)/4=(z+6)/2. Find th...

    Text Solution

    |

  12. Find the angle between the pair of lines given by barr=3 hati+2 hatj...

    Text Solution

    |

  13. find the angle between the pair of lines (x+3)/3=(y-1)/5=(z+3)/4 and (...

    Text Solution

    |

  14. Find the shortest distance between the lines l1 and l2 barr=hati+hatj+...

    Text Solution

    |

  15. Find the distance between the lines l1 and l2, given by barr=hati+2 h...

    Text Solution

    |

  16. Show that the three lines with direction cosines (12)/(13),(-3)/(13),(...

    Text Solution

    |

  17. Show that the line through the points (1, -1, 2) and (3, 4,-2) is p...

    Text Solution

    |

  18. Show that the line through the points (4, 7, 8), (2, 3, 4)is parallel...

    Text Solution

    |

  19. The equation of the line which passes through the point (1,2,3) and pa...

    Text Solution

    |

  20. Find the equation of the line in vector and in cartesian form that pas...

    Text Solution

    |