Home
Class 12
MATHS
Determine the value of k so that the lie...

Determine the value of k so that the lie joining the points `A(k,1,-1), B(2,0,2k)` is perpendicular to the line joining the points `C(4,2k,1) and D(2,3,2)`

Promotional Banner

Topper's Solved these Questions

  • Three Dimensional Geometry

    MODERN PUBLICATION|Exercise EXERCISE|491 Videos

  • RELATIONS AND FUNCTIONS

    MODERN PUBLICATION|Exercise EXAMPLE|13 Videos

  • UNIT TEST-4

    MODERN PUBLICATION|Exercise EXERCISE|13 Videos

Similar Questions

Explore conceptually related problems

Find the equation of the line joining the points A(0,-1,3) and B(2,-3,-1).

Show that the line joining the origin to the point (2, 1, 1) is perpendicular to the line determined by the points (3, 5, – 1), (4, 3, – 1).

Find the vector equation of the line joining the points A(1,-1,2) and B(1,-2,0).

Show that the line joining (2, -3) and (- 5,1) is : perpendicular to the line joining (4, 5) and (0, - 2).

Find the vector equation of the plane through the point (2,0,-1) and perpendicular to the line joining the two pints (1,2,3) and (3,-1,6).

Find the vector and cartesian equation of a line through the point (1, – 1, 1) and perpendicular to the lines joining the points (4, 3, 2), (1, -1,0) and (1, 2,-1), (2, 1, 1).

Find the equation of the plane passing through the points (1,2,1) and perpendicular to the line joining the points (1,4,2) and (2,3,5), Also, find the perpendicular distance of the plane from the origin.

The line segment joining the points (1,2) and (-2,1) is divided by the line 3x+4y=7 in the ratio:

Find the image of the point A(-1,8,4) in the line joining the points B(0,-1,3) and C(2,-3,-1).

Find the distance between the points (k, k+1, k+2) and (0, 1, 2).

MODERN PUBLICATION-Three Dimensional Geometry-EXERCISE
  1. Show that the line through the points (4, 7, 8), (2, 3, 4) is parallel...

    Text Solution

    |

  2. Show that the line joining the origin to the point (2, 1, 1) is perpen...

    Text Solution

    |

  3. Determine the value of k so that the lie joining the points A(k,1,-1),...

    Text Solution

    |

  4. Prove that the angle between any two diagonals of a cube is cos^-1frac...

    Text Solution

    |

  5. Find the projection of the line segment joining the points: (2,-3,0), ...

    Text Solution

    |

  6. Find the projection of the line segment joining the points (1,2,3), (4...

    Text Solution

    |

  7. If the edges of a rectangular parallelopiped are a, b and c, show that...

    Text Solution

    |

  8. write the vectoe equation of the line : (x-5)/-3=(y+4)/7=(6-z)/2.

    Text Solution

    |

  9. show that the three lines with direction cosines <12/13,-3/13,-4/13>, ...

    Text Solution

    |

  10. express the following equations of the lines into vector form: (x-3)/3...

    Text Solution

    |

  11. Find the cartesian equation of the line which passes through the point...

    Text Solution

    |

  12. Find the cartesian as well as the vector equation of the line passing ...

    Text Solution

    |

  13. Find the cartesian as well as the vector equation of the line passing ...

    Text Solution

    |

  14. The cartesian equations of a line are : (x-5)/3=(y+4)/7=(z-6)/2 and (x...

    Text Solution

    |

  15. Find the equation of a line parallel to x-axis and passing through the...

    Text Solution

    |

  16. Find the direction cosines of a line parallel to the line :(x-5)/6=(y+...

    Text Solution

    |

  17. Write the direction cosine of a line parallel to the line : (3-x)/3=(y...

    Text Solution

    |

  18. Find the vector and the Cartesian equations of the line through the po...

    Text Solution

    |

  19. Find the equation of the line passing through the point (2, -1, 3) and...

    Text Solution

    |

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

    Text Solution

    |