Home
Class 11
MATHS
The shortest distance between the skew l...

The shortest distance between the skew line `(x-3)/(-1) =(y-4)/(2)=(z+2)/(1), (x-1)/(1)=(y+7)/(3)=(z+2)/(2)` is

A

6

B

7

C

`3sqrt5`

D

`sqrt(35)`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • MULTIPLE PRODUCT OF VECTORS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|62 Videos

  • MULTIPLE PRODUCT OF VECTORS

    AAKASH SERIES|Exercise EXERCISE-I|40 Videos

  • MULTIPLE & SUBMULTIPLE ANGLES

    AAKASH SERIES|Exercise PRACTICE EXERCISE|68 Videos

  • PAIR OF STRAIGHT LINES

    AAKASH SERIES|Exercise ADVANCED SUBJECTIVE TYPE QUESTIONS|15 Videos

Similar Questions

Explore conceptually related problems

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

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

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

Shortest distance between the lines (x-1)/(1) = (y-1)/(1) = (z-1)/(1) and (x-2)/(1) = (y-3)/(1) = (z-4)/(1) is equal to

Find 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)

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

The lines (x-2)/(1)=(y-3)/(2)=(z-4)/(0) is

Shortest distance between z-axis and the line (x-2)/(3) =(y-5)/(2) =(z+1)/(-5) is

The angles between the lines (x+1)/(-3) =(y-3)/(2)=(z+2)/(1) and x=(y-7)/(-3) =(z+7)/(2) are

AAKASH SERIES-MULTIPLE PRODUCT OF VECTORS-EXERCISE -II
  1. The shortest distance between the lines whose equations are barr = t...

    Text Solution

    |

  2. The shortest distance between the lines through the points (2, 3, 1), ...

    Text Solution

    |

  3. The lines barr =bara+ tbarb, barr = barc + bart^(1)bard are coplanar i...

    Text Solution

    |

  4. Observe the following, choose correct answer : Assertion(A): The lin...

    Text Solution

    |

  5. The equation of the plane containing the lines barr = bara+ tbarb and ...

    Text Solution

    |

  6. Let bara=a(1)bari+a(2)barj+a(3)bark,barb=b(1)bari+b(2)barj+b(3)barkbar...

    Text Solution

    |

  7. The three concurrent edges of a parallelopiped represents the vectors ...

    Text Solution

    |

  8. The shortest distance between the skew lines barr=(bari+3barj+3barK)+t...

    Text Solution

    |

  9. If x, y, z are non-zero real numbers, bara=xbari+2barj,bara=ybarj+3bar...

    Text Solution

    |

  10. The angle between the lines barr=(2bari-3barJ+k)+lamda(bari+4barj+3k...

    Text Solution

    |

  11. If bara=2bari +bark, barb=bari +barj+bark, barc=4bari-3barj+7bark then...

    Text Solution

    |

  12. If bara,barb,barc are three vectors such that absbara =1, absbarb = ...

    Text Solution

    |

  13. [(baraxxbarb)xx(baraxxbarc)].bard=k[bara barb barc] then k=

    Text Solution

    |

  14. If bara=2bari-3barj+5bark,barb=3bari-4barj+5bark and barc = 5bari - 3b...

    Text Solution

    |

  15. The shortest distance between the skew line (x-3)/(-1) =(y-4)/(2)=(z+2...

    Text Solution

    |

  16. If veca =2bari+3barj,vecb =bari+barj+bark and vecc=lamdabari+4barj+2ba...

    Text Solution

    |

  17. If the volume of parallelopiped with conterminus edges 4hati+5hatj+hat...

    Text Solution

    |

  18. If vecA,vecB,vecC are three non-coplanar vectors such that abs(vecA)=4...

    Text Solution

    |

  19. If bara=bari+barj+bark,barb=bari+barj,barc=bari and bar(baraxxbarb)xxb...

    Text Solution

    |

  20. Let OA, OB, OC be the co-terminal edges of a rectangular parallelopipe...

    Text Solution

    |