Home
Class 12
MATHS
Find shortest distance between lines (x-...

Find shortest distance between lines `(x-1)/2=(y-2)/3=(z-3)/4` and `(x-2)/3=(y-4)/4=(z-5)/5`

Promotional Banner

Topper's Solved these Questions

  • THREE DIMENSIONAL GEOMETRY

    PRADEEP PUBLICATION|Exercise EXERCISE|373 Videos

  • RELATIONS AND FUNCTIONS

    PRADEEP PUBLICATION|Exercise EXERCISE|401 Videos

  • VECTORS

    PRADEEP PUBLICATION|Exercise EXERCISE|438 Videos

Similar Questions

Explore conceptually related problems

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

Find the shortest distance between the lines ((x+1)/4=(y-3)/-6=(z+1)/1 and (x+3)/3=(y-5)/2=(z-7)/6

Find the shortest distance between the lines : (x+1)/4=(y-3)/-6=(z+1)/1 and (x+3)/3=(y-5)/2=(z-7)/6 .

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

Find the shortest distance between the lines : (x+1)/5=(y+1)/-6=(z+1)/2 and (x-3)/4=(y-5)/-2=(z-7)/1 .

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)

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

If 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 lambdasqrt(30) unit, then the value of lambda 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

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

PRADEEP PUBLICATION-THREE DIMENSIONAL GEOMETRY-EXERCISE
  1. Find the general solution of the following (sinx+cosx)dy=y(cosx-sinx)d...

    Text Solution

    |

  2. Find the shortest distance between each of the following pair of lines...

    Text Solution

    |

  3. Find shortest distance between lines (x-1)/2=(y-2)/3=(z-3)/4 and (x-2)...

    Text Solution

    |

  4. Determine whether or not the following paris of lines intersect: vecr=...

    Text Solution

    |

  5. Determine whether or not the following paris of lines intersect: vecr=...

    Text Solution

    |

  6. Determine whether or not the following paris of lines intersect: (x-1)...

    Text Solution

    |

  7. Find the general solution of the following (1+x^2)dy=xydx

    Text Solution

    |

  8. Find the general solution of the following (e^x+1)dy=y(e^x)dx

    Text Solution

    |

  9. Show that the lines (x-1)/23=(y+1)/2=(z-1)/5 and (x-2)/4=(y-1)/3=(z+1)...

    Text Solution

    |

  10. Write the vector equation of the following lines and hence find distan...

    Text Solution

    |

  11. Find the normal unit vector to the plane x+2y+3z-6=0.

    Text Solution

    |

  12. Find the unit vector perpendicular to the plane vecr.(6hati+3hatj-2hat...

    Text Solution

    |

  13. Find the cartesian equation of the following planes: vecr.(hati+hatj+h...

    Text Solution

    |

  14. Find the cartesian equation of the following planes: vecr.(2hati-3hatj...

    Text Solution

    |

  15. Find the equations of the line passing through the point (1,-1,2) and...

    Text Solution

    |

  16. Find the equation of the line passing through the point with position ...

    Text Solution

    |

  17. Find the general solution of the following (1+logx)xdy=ydx

    Text Solution

    |

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

    Text Solution

    |

  19. Find the equation of a plane which bisects perpendicularly the line se...

    Text Solution

    |

  20. Find the equation of the plane through the point (1,4,-2) and parallel...

    Text Solution

    |