Home
Class 11
MATHS
The shortest distance between the z-axis...

The shortest distance between the z-axis and the line `x+y+2z-3=0=2x+3y+4z-4`, is :

A

1

B

2

C

4

D

3

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • APPENDICES (REVISION EXERCISE)

    AAKASH SERIES|Exercise CROSS PRODUCT OF TWO VECTORS|17 Videos
  • 3D-COORDINATE SYSTEM

    AAKASH SERIES|Exercise PRACTICE EXERCISE|40 Videos
  • CHANGE OF AXES

    AAKASH SERIES|Exercise Practice Exercise|29 Videos

Similar Questions

Explore conceptually related problems

Shortest distance between z-axis and the line (x-2)/(3) =(y-5)/(2) =(z+1)/(-5) 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 shortest distance betweeen the lines x/2 = y/2 = z/1 and (x+2)/(-1) = (y-4)/(8) = (z-5)/(4) lies in the interval

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

The distance between the parallel planes 12x – 3y + 4z – 7 = 0, 12x – 3y + 4z +6 = 0) is

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

The distance between the parallel planes 4x-6y+2z+k=0 and 2x-3y+z+1=0 is sqrt(14) , then k =

AAKASH SERIES-APPENDICES (REVISION EXERCISE)-MULTIPLE PRODUCT OF TWO VECTORS
  1. If veca, vecb, vecc are three coplanar vectors, barp, barq, barr are n...

    Text Solution

    |

  2. If bara=3bari+2barj+bark,barb=bari+barj+2bark and barc=bari+3barj+3bar...

    Text Solution

    |

  3. Let G(1),G(2),G(3) be the centroids of the triangular faces OBC, OCA, ...

    Text Solution

    |

  4. bara,barb,barc are non coplanar and bard=x(bara xx barb) +y(barb xx ba...

    Text Solution

    |

  5. barb and barc are non collinear vectors. bara is a vector such that b...

    Text Solution

    |

  6. Let bara=bari+2hatj+3hatk, barb= -bari+2hatj+3bark, barc=3hati+hatj an...

    Text Solution

    |

  7. If bara, barb, barc are three vectors of magnitudes sqrt(3), 1, 2 such...

    Text Solution

    |

  8. The angle between the line barr=(2bari-barj+bark)+lambda(bari-barj+bar...

    Text Solution

    |

  9. If barb, barc are two unit vectors along the positive x, y axes, and b...

    Text Solution

    |

  10. If x(bara xx barb) +y(barb xx barc)+z(barc xx bara)=barr and [(bara, b...

    Text Solution

    |

  11. If A=(1, -2, -1), B= (4, 0, -3), C = (1, 2, -1), D=(2, -4, -5), then d...

    Text Solution

    |

  12. A tetrahedron of volume V = 5 has three of its vertices at the points ...

    Text Solution

    |

  13. If bara, barb, barc are three vectors such that |barb|=|barc| then {(...

    Text Solution

    |

  14. Angle between the line barr = (-bari+3barj+3bark)+t(2bari+3barj+6bark)...

    Text Solution

    |

  15. If 4x + i(3x-y) =3+ i(-6), where x and y are real numbers, then find t...

    Text Solution

    |

  16. If bara=(1)/(sqrt(10)) (3bari+bark) and barb=(1)/(7)(2bari+3barj-6bar...

    Text Solution

    |

  17. The vectors veca and barb are not perpendicular and barc and bard are ...

    Text Solution

    |

  18. If vecx=3hati-6hatj-hatk, vecy=hati+4hatj-3hatk and vecz=3hati-4hatj-1...

    Text Solution

    |

  19. Let veca = 2 hati+hatj-2hatk, vecb=hati+hatj. If vecc is a vector suc...

    Text Solution

    |

  20. The shortest distance between the z-axis and the line x+y+2z-3=0=2x+3y...

    Text Solution

    |