Home
Class 12
MATHS
If the lines (x-1)/(-3)=(y-2)/(2k)=(z-3...

If the lines `(x-1)/(-3)=(y-2)/(2k)=(z-3)/2`and `(x-1)/(3k)=(y-1)/1=(z-6)/(-5)`are perpendicular, find the value of k.

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

If the lines (x-1)/-3 = (y-2)/(2k) = (z-3)/2 and (x-1)/(3k) = (y-1)/1 = (z-6)/-5 are perpendicular, then find the value of k.

If lines (x-1)/3=(y-1)/(2lambda)=(z-3)/2 and (x-1)/(3lambda)=(y-1)/1=(z-6)/-5 are perpendicular , find the value of lambda

If the lines (1-x)/3=(y-2)/(2a)= (z-3)/2 and (x-1)/(3a) =y-1 = (6-z)/5 are perpendicular then the value of a is a) (-10)/7 b) 10/7 c) (-10)/11 d) 10/11

If the two lines (x-1)/(2) = (1-y)/(-a) = (z)/(4) and (x-3)/(1) = (2y-3)/(4) = (z-2)/(2) are perpendicular, then the value of a is equal to

Show that the lines (x+3)/(-3)=(y-1)/(1)=(z-5)/5 and (x+1)/(-1) =(y- 2)/2=(z-5)/5 are coplanar.

If the lines (x + 3)/(-3) = (y -1)/(k) = (z - 5)/(5) and (x +1)/(-1) = (y -2)/(2) = (z -5)/(5) are coplanar, then the value of k is

V PUBLICATION-THREE DIMENSIONAL GEOMETRY-QUESTION BANK
  1. Find the equation of a line parallel to x-axis and passing through the...

    Text Solution

    |

  2. If the coordinates of the points A ,\ B ,\ C ,\ D\ b e\ (1,\ 2,\ 3),\ ...

    Text Solution

    |

  3. If the lines (x-1)/(-3)=(y-2)/(2k)=(z-3)/2and (x-1)/(3k)=(y-1)/1=(z-6...

    Text Solution

    |

  4. Write the vector equation of the line passing through (1,2,3) and pe...

    Text Solution

    |

  5. Find the equation of the plane passing through (a ,b ,c) and parallel ...

    Text Solution

    |

  6. Find the shortest distance between the lines vecr = 6hati+2hatj+2hatk+...

    Text Solution

    |

  7. Find the co-ordinates of the point where the line through (5,1,6) and ...

    Text Solution

    |

  8. Find the coordinates of the point where the line through (5, 1, 6) ...

    Text Solution

    |

  9. Find the co-ordinates of the point where the line through (3, -4, -5) ...

    Text Solution

    |

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

    Text Solution

    |

  11. If the points (1,1,p) and (-3,0,1) be equidistant from the plane vecr....

    Text Solution

    |

  12. Find the equation of the plane passing through the line of intersectio...

    Text Solution

    |

  13. If O be the origin and the co-ordinates of P be (1,2,-3), then find th...

    Text Solution

    |

  14. Find the equation of the plane which contains the line of intersectio...

    Text Solution

    |

  15. Find the distance of the point (-1,-5,-10) from the point of intersecț...

    Text Solution

    |

  16. Find the vector equation of the line passing through (1,2,3) and paral...

    Text Solution

    |

  17. Find the vector equation of the line passing through the point (1,2,-4...

    Text Solution

    |

  18. Prove that if a plane has the intercepts a, b, c and it is at a distan...

    Text Solution

    |

  19. Distance between the two planes: '2 x+3 y+4 z=4' and '4 x+6 y+8 z=(12)...

    Text Solution

    |

  20. The planes '2 x-y+4 z=5' and '5 x-2.5 y+10 z=6' are

    Text Solution

    |