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

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

A

a

B

2a

C

4a

D

6a

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • THE DIMENSIONAL GEOMETRY

    MCGROW HILL PUBLICATION|Exercise EXERCISE (NUMERICAL ANSWER TYPE QUESTIONS)|20 Videos
  • THE DIMENSIONAL GEOMETRY

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS. AIEEE/JEE MAIN PAPERS|105 Videos
  • THE DIMENSIONAL GEOMETRY

    MCGROW HILL PUBLICATION|Exercise EXERCISE (LEVEL 1 (SINGLE CORRECT ANSWER TYPE QUESTIONS))|48 Videos
  • STATISTICS

    MCGROW HILL PUBLICATION|Exercise QUESTION FROM PREVIOUS YEARS. B-ARCHITECTURE ENTRANCE EXAMINATION PAPERS|13 Videos
  • TRIGONOMETRICAL IDENTITIES AND EQUATIONS

    MCGROW HILL PUBLICATION|Exercise Questions from Previous Years. B-Architecture Entrance Examination Papers|20 Videos

Similar Questions

Explore conceptually related problems

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

The shortest distance between the lines 2x+y+z-1=0=3x+y+2z-2 and x=y=z, is

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

Statement 1: The shortest distance between the lines x/2=y/(-1)=z/2 and (x-1)/(-2)=(y-1)/-2=(z-1)/4 is sqrt(2) . Statement 2: The shortest distance between two parallel lines is the perpendicular distance from any point on one of the lines to the other line.

The angle between the lines 2x=3y=-z and 6x=-y=-4z is

The angle between the lines 2x=3y=-z and 6x=-y=-4z is

MCGROW HILL PUBLICATION-THE DIMENSIONAL GEOMETRY -EXERCISE (LEVEL 2 (SINGLE CORRECT ANSWER TYPE QUESTIONS))
  1. The line (x-a)/(a')=(y-b)/(b')=(z-c)/(c') and (x-a')/(a)=(y-b')/(b)=(z...

    Text Solution

    |

  2. Find the image of point (3,-2,1) in the plane 3x- y + 4z = 2.

    Text Solution

    |

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

    Text Solution

    |

  4. The P(u,v,q) is a point whose distance from the line x=y=z is twice it...

    Text Solution

    |

  5. Find the angel between any two diagonals of a cube.

    Text Solution

    |

  6. The mid-points of the sides of a triangle are (2,3,-1),(0,8,5)and(5,7,...

    Text Solution

    |

  7. A line makes angles alpha,beta,gammaa n ddelta with the diagonals of a...

    Text Solution

    |

  8. The volume of the tetrahedron included between the plane 3x+4y-5z-60=0...

    Text Solution

    |

  9. A triangle ABC is placed so that the mid-points of the sides are on th...

    Text Solution

    |

  10. A point moves so that the sum of the square of itsdistances from the s...

    Text Solution

    |

  11. The plane 2x-y+3z+5=0 is rotated through 90^(@) about its line of inte...

    Text Solution

    |

  12. A plane passes through (1,-2,1) and is perpendicualr to two planes 2x...

    Text Solution

    |

  13. A variable plane x/a+y/b+z/c=1 at a unit distance from origin cuts the...

    Text Solution

    |

  14. If t is a parameter, then the line of intersection of the planes 3x-6y...

    Text Solution

    |

  15. Projection of the line 8x-y-7z=8,x+y+z=1 on the plane 5x-4y-z=5 is

    Text Solution

    |

  16. Distance between parallel lines r=2i+lambda(i+j+k) and r=-3j+mu(i+...

    Text Solution

    |