Home
Class 12
MATHS
The shortest distance between the lines ...

The shortest distance between the lines (x-1)/2 = (y-2)/3 = (z-3)/4 and (x-2)/3 = (y-4)/4 = (z-5)/5 is

A

`1/sqrt6`

B

44348

C

44256

D

`1/sqrt3`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • STATISTICS MEASURE OF DIPERSION

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|28 Videos

  • VECTORS AND THEIR APPLICATIONS

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|296 Videos

Similar Questions

Explore conceptually related problems

The angle between the lines (x+1)/2 = (y-2)/5 = (z+3)/4 and (x-1)/1 = (y+2)/2 = (z-3)/(-3) is

The shortest distance between the lines : (x-3)/3 =(y-8)/(-1) =(z-3)/1 and (x+3)/(-3) = (y+7)/2=(z-6)/4 is :

If the distance between the plane Ax+2y+z=d and the plane containing the lines (x-1)/2 = (y-2)/3 = (z-3)/4 and (x-2)/3 = (y-3)/4 = (z-4)/5 is sqrt6 , then |d| is equal to

The angle between the lines (x+1)/1 = (y-3)/2 = (z+2)/3 and x/3 = (y-1)/(-2) = z/1 is

The shortest distance between the lines (x-3)/(3)=(y-8)/(-1)=(z-3)/(1) and (x+3)/(-3)=(y+7)/(2)=(z-6)/(4) is

The shortest distance between the lines L_(1) : (x+1)/3 = (y+2)/1 =(z+1)/2 L_(2) = (x-2)/1 = (y+2)/2 = (z-3)/3 is

Find the shortest distance between the lines. (x+1)/7=(y+1)/(-6)=(z+1)/1 " and " (x-3)/1=(y-5)/(-2)=(z-7)/1 .

The angle between two lines (x+1)/2 =(y+3)/2 =(z-4)/(-1) and (x-4)/1 =(y+4)/2 =(z+1)/2 is :

HIMALAYA PUBLICATION-THREE DIMENSIONAL GEOMETRY-QUESTION BANK
  1. Let the line (x-2)/3=(y-1)/(-5)=(z+2)/2 lie in the plane x+3y-alpha z+...

    Text Solution

    |

  2. A line AB in three-dimensional space makes angles 45^@ and 120^@ with ...

    Text Solution

    |

  3. The shortest distance between the lines (x-1)/2 = (y-2)/3 = (z-3)/4 an...

    Text Solution

    |

  4. The distance between the line vec r = 2i+2j+3k + lambda (i-j+4k) and t...

    Text Solution

    |

  5. Equation of the line passing through (1,1,1) and parallel to the plane...

    Text Solution

    |

  6. The line of intersection of the planes vec r . (3i-j+k) =1 and vec r ....

    Text Solution

    |

  7. Given the line L=(x-1)/3 =(y+1)/2 =(z-3)/(-1) and the plane pi:x-2y-z=...

    Text Solution

    |

  8. The ratio in which the plane vec r . (i-2j+3k) =17 divides the line jo...

    Text Solution

    |

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

    Text Solution

    |

  10. Equation of the plane containing the line vec r = i+j + lambda (2i+j+4...

    Text Solution

    |

  11. The sine of the angle between the straight line (x-2)/3 = (y-3)/4 = (z...

    Text Solution

    |

  12. If the direction cosines of a line are 1/c, 1/c, 1/c then,

    Text Solution

    |

  13. The equation of the right bisector plane of the segment joining (2,3,...

    Text Solution

    |

  14. The angle between a line with direction ratio proportional to 2,2,1 an...

    Text Solution

    |

  15. Equation of the plane through P(1,2,3) and parallel to the plane x+2 y...

    Text Solution

    |

  16. Equation of the plane passing through the mid point of the line segmen...

    Text Solution

    |

  17. If M denotes the midpoint of the line segment joining A(4 i+5j-10k) an...

    Text Solution

    |

  18. The angle between the lines (x+1)/1 = (y-3)/2 = (z+2)/3 and x/3 = (y-1...

    Text Solution

    |

  19. A non-zero vector vec a is parallel to the line of intersection of the...

    Text Solution

    |

  20. The projection of the line joining the points (3,4,5) and (4,6,3) on t...

    Text Solution

    |