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

The shortest distance between the lines lines `x/2 = y/2 = z/1 and (x+2)/(-1) = (y-4)/8 = (z-5)/4` in the interval:

A

`(3,4]`

B

`(2,3]`

C

`[1,2)`

D

`[0,1)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • THREE DIMENSIONAL GEOMETRY

    DISHA PUBLICATION|Exercise Exercise -1 : Concept Builder (Topicwise)|60 Videos
  • THREE DIMENSIONAL GEOMETRY

    DISHA PUBLICATION|Exercise Exercise -2 : Concept Applicator|30 Videos
  • STRAIGHT LINES AND PAIR OF STRAIGHT LINES

    DISHA PUBLICATION|Exercise EXERCISE 2: CONCEPT APPLICATOR|30 Videos
  • TRIGONOMETRIC FUNCTIONS

    DISHA PUBLICATION|Exercise EXERCISE-2|30 Videos

Similar Questions

Explore conceptually related problems

The shortest distance between the lines (x-5)/4 = (y-7)/-5 = (z+3)/-5 and (x-8)/7 = (y-7)/1 = (z-5)/3 is

The shortest distance between the lines x=y+2 = 6z-6 and x + 1 = 2y = - 12z is

The shortest distance between the lines (x-2)/(2)=(y-3)/(2)=(z-0)/(1) and (x+4)/(-1)=(y-7)/(8)=(z-5)/(4) lies in the interval

Shortest distance between the lines (x-3)/1 = (y-8)/4 = (z-3)/22 and (x+3)/1 = (y+7)/1 = (z-6)/7 is

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

The shortest distance between the lines x+a=2y=-12z and x=y+2a=6z-6a is

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

The shortest distance between the line 1+x=2y=-12z and x=y+2=6z-6 is

DISHA PUBLICATION-THREE DIMENSIONAL GEOMETRY -Exercise -2 : Concept Applicator
  1. The shortest distance between the lines lines x/2 = y/2 = z/1 and (x+2...

    Text Solution

    |

  2. A line makes the same angle alpha with each of the x and y axes. If th...

    Text Solution

    |

  3. A mirror and source of light are situated at the origin O and a point ...

    Text Solution

    |

  4. The point of intersection of the line passing through (0,0,1) and i...

    Text Solution

    |

  5. The direction cosines l, m and n of two lines are connected by the rel...

    Text Solution

    |

  6. The angle between the plane 2x + 3y - 8z = 0 and the line .(x-2)/1=(y...

    Text Solution

    |

  7. Find the direction cosines of the two lines which are connected by ...

    Text Solution

    |

  8. Find the equation of a line which passes through the point (1,1,1) ...

    Text Solution

    |

  9. If the line through the points A (k,1,-1) and B(2k,0,2) is perpendicul...

    Text Solution

    |

  10. The equation of the line intersection of the planes 4x+4y-5z=12 and 8x...

    Text Solution

    |

  11. If the straighat lines x=1+s,y=-3-lamdas,z=1+lamdas and x=t/2,y=1+t,z=...

    Text Solution

    |

  12. The line which contains all points (x, y, z) which are of the form (x,...

    Text Solution

    |

  13. Show that the points A(1,2,3), B(-1,-2,-1), C(2,3,2), D(4,7,6) are the...

    Text Solution

    |

  14. The shortest distance between the line 1+x=2y=-12z and x=y+2=6z-6 is

    Text Solution

    |

  15. The line which passes through the origin and intersect the two lines (...

    Text Solution

    |

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

    Text Solution

    |

  17. The distance between the line given by vecr= hati+hatj + lamda(hati-2...

    Text Solution

    |

  18. Find the point on the line (x+2)/3=(y+1)/2=(z-3)/2 at a distance of 3s...

    Text Solution

    |

  19. The coordinates o the foot of the perpendicular drawn from the orig...

    Text Solution

    |

  20. If A,B,C are point (1,0,4) , (0,-1,5) and (2,-3,1) respectively , then...

    Text Solution

    |

  21. If from a point P(a ,b ,c) prpendiculars P Aa n dP B are drawn to y za...

    Text Solution

    |