Home
Class 12
MATHS
Shortest distance between the lines (...

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

Promotional Banner

Topper's Solved these Questions

  • THEORY OF EQUATIONS

    CENGAGE PUBLICATION|Exercise JEE ADVANCED (Numerical Value Type )|1 Videos

  • THREE-DIMENSIONAL GEOMETRY

    CENGAGE PUBLICATION|Exercise ARCHIVES INTEGER TYPE|1 Videos

Similar Questions

Explore conceptually related problems

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

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

If the shortest distance between the lines (x-1)/(1)=(y-1)/(1)=(z-1)/(1) and (x-2)/(1)=(y-3)/(1)=(z-4)/(1) is equal to sqrt(K) unit, then the value of K is -

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

The angle between the lines (x-5)/(1)=(y-1)/(0)=(z-9)/(0) and 2x-1=5-2y=sqrt(2)z is -

If the lines (x-1)/2=(y+1)/3=(z-1)/4a n d(x-3)/1=(y-k)/2=z/1 intersect, then find the value of kdot

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 line (x-2)/3=(y+1)/2=(z-1)/-1 intersects the curve x y=c^(2),z=0 if c is equal to a. +-1 b. +-1/3 c. +-sqrt(5) d. none of these

The line (x-2)/3=(y+1)/2=(z-1)/1 intersects the curve x y=c^(2),z=0 then c is equal to a. +-1 b. +-1//3 c. +-sqrt(5) d. none of these

Find the shortest distance distance between the following lines : (x-1)/(1)=(y-5)/(-2)=(z-7)/(1),(x+1)/(7)=(y+1)/(-6)=(z+1)/(1)

CENGAGE PUBLICATION-THREE DIMENSIONAL GEOMETRY-All Questions
  1. If lines x=y=za n dx=y/2=z/3 and third line passing through (1,1,1) fo...

    Text Solution

    |

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

    Text Solution

    |

  3. Shortest distance between the lines (x-1)/1=(y-1)/1=(z-1)/1a n d(x-...

    Text Solution

    |

  4. Distance of point P( vec p) from the plane vec rdot vec n=0 is a. | v...

    Text Solution

    |

  5. The reflection of the point vec a in the plane vec rdot vec n=q is...

    Text Solution

    |

  6. Line vec r= vec a+lambda vec b will not meet the plane vec rdot vec ...

    Text Solution

    |

  7. If a line makes an angle of pi/4 with the positive direction of ea...

    Text Solution

    |

  8. Find the equation of the plane containing the lines 2x-y+z-3=0,3x+y+z=...

    Text Solution

    |

  9. A plane which prependicular totwo planes 2x-2y+z=0and x-y+2z=4 passes ...

    Text Solution

    |

  10. Let P(3,2,6) be a point in space and Q be a point on line vec r=( hat...

    Text Solution

    |

  11. If the lines (x-1)/2=(y+1)/3=(z-1)/4 and (x-3)/1=(y-k)/2=z/1 intersec...

    Text Solution

    |

  12. Consider a set of point R in which is at a distance of 2 units from t...

    Text Solution

    |

  13. Consider the lines L1:(x-1)/2=y/(-1)=(z+3)/1,L2:(x-4)/1=(y+3)/1=(z+3)/...

    Text Solution

    |

  14. Statement 1: A plane passes through the point A(2,1,-3)dot If distan...

    Text Solution

    |

  15. Consider the following linear equations: a x+b y+c z=0 b x+c y+a z=0 c...

    Text Solution

    |

  16. If the distance between the plane Ax-2y+z=d. and the plane containing ...

    Text Solution

    |

  17. Prove that the volume of tetrahedron bounded by the planes vec rdo...

    Text Solution

    |

  18. If a variable plane forms a tetrahedron of constant volume 64k^3 with ...

    Text Solution

    |

  19. O A ,O Ba n dO C ,w i t hO as the origin, are three mutually perpen...

    Text Solution

    |

  20. Prove that for all values of lambda and mu , the planes (2x)/a+y/b+(...

    Text Solution

    |