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

The shortest distance between the lines `(x-1)/(0)=(y+1)/(-1)=(z)/(1) and x+y+z+1=0, 2x-y+z+3=0` is :

A

1

B

`1/(sqrt(3))`

C

`(1)/(sqrt(2))`

D

`(1)/(2)`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • JEE MAINS

    JEE MAINS PREVIOUS YEAR|Exercise Physics|30 Videos

  • JEE MAINS 2021

    JEE MAINS PREVIOUS YEAR|Exercise Mathematics (Section A )|20 Videos

Similar Questions

Explore conceptually related problems

If the shortest distance between the lines (x-1)/(alpha)=(y+1)/(-1)=(z)/(1) and x+y+z+1=0=2x-y+z+3 is (1)/(sqrt(3)) then value of alpha

Find the shortest distance between the lines,(x-1)/(2)=(y-3)/(4)=(x+2)/(1) and 3x-y-2z+4=0=2x+y+z

Equation of the line of the shortest distance between the lines (x)/(1)=(y)/(-1)=(z)/(1) and (x-1)/(0)=(y+1)/(-2)=(z)/(1) is:

The distance between the line (x-2)/(1)=(y-3)/(1)=(z-4)/(5) and the plane 2x+3y-z+5=0 is

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

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 ) .

The shortest distance between the line (x-1)/(2)=(y+1)/(3)=(z)/(1) and the line (x+1)/(1)=(y+4)/(1)=(z+1)/(1) is

Shortest distance between z-axis and the line (x-2)/(3)=(y-5)/(2)=(z+1)/(-5) is

Angle between the line (x+1)/(1)=(y)/(2)=(z-1)/(1) and the plane, x+y+z+5=0 is

JEE MAINS PREVIOUS YEAR-JEE MAINS 2020-MATHEMATICS
  1. If sum(i=1)^n (xi -a) =n and sum(i=1)^n (xi - a)^2 =na then the standa...

    Text Solution

    |

  2. If {p} denotes the fractional part of the number p , then {(3^(200))/(...

    Text Solution

    |

  3. The shortest distance between the lines (x-1)/(0)=(y+1)/(-1)=(z)/(1)...

    Text Solution

    |

  4. The negation of the Boolean expression pvv(~p ^^q) is equivalent to :

    Text Solution

    |

  5. Two families with three members each and one family with four member...

    Text Solution

    |

  6. Let m and M be respectively the minimum and maximum values of |{:(cos...

    Text Solution

    |

  7. Let a,b,c,d and p be any non zero distinct real numbers such that (a...

    Text Solution

    |

  8. The value of lambda and mu for which the system of linear equation ...

    Text Solution

    |

  9. Set A has m element and Set B has n element . If the total numbers of ...

    Text Solution

    |

  10. Let f: R to R be defined as f(x)={{:(x^(5) sin""((1)/(x))+5x^(2)","...

    Text Solution

    |

  11. If veca and vecb are unit vectors, then the greatest value of sqrt(3)...

    Text Solution

    |

  12. Let AD and BC be two vertical poles at A and B respectively on a horiz...

    Text Solution

    |

  13. The angle of elevation of the top of a hill from a point on the horizo...

    Text Solution

    |

  14. Let f:R rarr R be a function which satisfies f(x+y)=f(x)+f(y) AA x, ...

    Text Solution

    |

  15. If the sum of first 11 terms of an A.P., a(1),a(2),a(3),.... is 0(a(1...

    Text Solution

    |

  16. Let E^(C) denote the complement of an event E. Let E(1),E(2) and E(...

    Text Solution

    |

  17. If the equation cos^(4)theta+sin^(4) theta+lambda=0 has real solutions...

    Text Solution

    |

  18. An equilateral trinagle is inscribed in parabola y^2=8x whose one ver...

    Text Solution

    |

  19. Find the imaginary part of ((3+2sqrt(-54))^(1/2)-(3-2sqrt(-54))^(1/2))

    Text Solution

    |

  20. A plane passing through the point (3,1,1) contains two lines whose dir...

    Text Solution

    |