Home
Class 12
MATHS
Find the shortest distance between the l...

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`

Promotional Banner

Topper's Solved these Questions

  • THREE DIMENSIONAL GEOMETRY

    NEW JOYTHI PUBLICATION|Exercise Ncert TextBook Exercise 11.3|11 Videos
  • THREE DIMENSIONAL GEOMETRY

    NEW JOYTHI PUBLICATION|Exercise Additional Questions For Practice 11.1|2 Videos
  • THREE DIMENSIONAL GEOMETRY

    NEW JOYTHI PUBLICATION|Exercise Ncert TextBook Exercise 11.1|4 Videos
  • STRAIGHT LINES

    NEW JOYTHI PUBLICATION|Exercise QUESTIONS FROM COMPETITIVE EXAMS|122 Videos
  • TRIGONOMETRIC FUNCTIONS

    NEW JOYTHI PUBLICATION|Exercise QUESTIONS FROM COMPETITIVE EXAMS|134 Videos

Similar Questions

Explore conceptually related problems

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

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

Statement 1: The shortest distance between the lines x/(-3)=(y-1)/1=(z+1)/(-1)a n d(x-2)/1=(y-3)/2=((z+(13//7))/(-1)) is zero. Statement 2: The given lines are perpendicular.

The shortest distance between the lines (x-3)/3=(y-8)/(-1)=(z-3)/1a n d(x+3)/(-3)=(y+7)/2=(z-6)/4 is a. sqrt(30) b. 2sqrt(30) c. 5sqrt(30) d. 3sqrt(30)

Shortest distance between the lines (x-1)/1=(y-1)/1=(z-1)/1a n d(x-2)/1=(y-3)/1=(z-4)/1 is equal to a. sqrt(14) b. sqrt(7) c. sqrt(2) d. none of these

Find the shortest distance berween the following pairs of lines (x-3)/(3)=(y-8)/(-1)=(z-3)/(1)and(x-3)/(-3)=(y+7)/(2)=(z-6)/(4)

Find the shortest distance between the lines (x-6)/(3)=(y-7)/(-1)=(z-4)/(1) and vecr=-9hati+2hatk+t(-3hati +2hatj+4hatk) .

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

Find the distance between the line (x+1)/(-3)=(y-3)/2=(z-2)/1 and the plane x+y+z+3=0.

NEW JOYTHI PUBLICATION-THREE DIMENSIONAL GEOMETRY-Ncert TextBook Exercise 11.2
  1. Show that the three lines with direction cosines 12/13,(-3)/13,(-4)/13...

    Text Solution

    |

  2. Show that the line through the points (1,-1,2) ,(3,4,-2) is perpendicu...

    Text Solution

    |

  3. Show that the line through the points (4,7,8),(2,3,4) is parallel to t...

    Text Solution

    |

  4. Find the equation of the line which passes through the point (1,2,3) a...

    Text Solution

    |

  5. Find the equation of the line in vector and in cartesian form that pas...

    Text Solution

    |

  6. Find the cartesian equation of the line which passes through the point...

    Text Solution

    |

  7. The cartesian equation of a line is (x-5)/3=(y+4)/7=(z-6)/2. Write its...

    Text Solution

    |

  8. Find the vector and the cartesian equations of the lines that pass thr...

    Text Solution

    |

  9. Find the vector and the cartesian equations of the line that passes th...

    Text Solution

    |

  10. Find the angle between the following pairs of lines : .vecr=3hati+hatj...

    Text Solution

    |

  11. Find the angle between the following pairs of lines : i.(x-2)/2=(y-...

    Text Solution

    |

  12. Find the values of p so that the lines (1-x)/3 =(7y-14)/(2p)=(z-3)/2...

    Text Solution

    |

  13. Show that the lines (x-5)/7=(y+2)/(-5)=z/1 and x/1=y/2=z/3 are perpend...

    Text Solution

    |

  14. Find the shortest distance between the lines vecr=(hati+2hatj+hatk)+la...

    Text Solution

    |

  15. Find the shortest distance between the lines (x+1)/7=(y+1)/(-6) =(z+1)...

    Text Solution

    |

  16. Find the shortest distance between the lines whose vector equations ar...

    Text Solution

    |

  17. Find the shortest distance between the lines whose vector equations ar...

    Text Solution

    |