Home
Class 12
MATHS
The distance between the line (x-2)/(1...

The distance between the line
`(x-2)/(1)=(y+2)/(-1)=(z-2)/(4)` and the plane `barr.(bari+5barj+bark)=5` is ( units)

A

`(10)/(3sqrt(3))`

B

`(10)/(3)`

C

`(10)/(9)`

D

`(5)/(2)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINES (3D)

    AAKASH SERIES|Exercise PRACTICE EXERCISE|28 Videos

  • STATISTICS

    AAKASH SERIES|Exercise EXERCISE-5.3|5 Videos

  • SYSTEM OF CIRCLES

    AAKASH SERIES|Exercise EXERCISE 2.2|22 Videos

Similar Questions

Explore conceptually related problems

The angle between the line barr=(2bari-barj+bark)+lambda(bari-barj+bark) and the plane barr.(3bari+2barj-bark)=4 is

Angle between the line barr = (-bari+3barj+3bark)+t(2bari+3barj+6bark) " and the plane " barr.(-bari+barj+bark) = 5 is

The distance between the plane whose equation is barr · (2bari + barj-3bark) = 5 and the line whose equation is barr=bari +lamda(2bari +bar5j+3bark) is

If the shortest distance between the lines barr=(bari +barj-bark)+s(2bari +barj+lamdabark) and barr = (2bari +bark)+t(bari + barj +bark) is zero find the value of lamda .

The shortest distance between the lines whose equations are barr = t ( bari + barj + bark ), barr = bark + s(bari - bar2j + 3bark) is

The angle between the planes barr.(2bari+barj+bark)=5, (bari-barj+2bark)=3 is

The shortest distance between the skew lines barr=(bari+3barj+3barK)+t(bari+3barj+2bark) and barr=(4bari+5barj+6bark)+t(2bari+3barj+bark) is

AAKASH SERIES-STRAIGHT LINES (3D)-PRACTICE EXERCISE
  1. Angle between the lines (x-2)/(3)=(y+1)/(-2) = z-2 and (x-1)/(2)=(y...

    Text Solution

    |

  2. The line x = 1, y = 2 is

    Text Solution

    |

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

    Text Solution

    |

  4. The value of k such that (x-4)/(1)=(y-2)/(1)=(z-k)/(2) lies in the pla...

    Text Solution

    |

  5. If the line (x-3)/(-4)=(y-4)/(-7)=(z+3)/(13) lies in the plane 5x-y+z ...

    Text Solution

    |

  6. The line (x-2)/(3)=(y+1)/(2)=(z-1)/(-1) intersect the curve x^(2)+y^(2...

    Text Solution

    |

  7. Equation of the line 2x + z - 4 = 0 = 2y + z in symmetric form is

    Text Solution

    |

  8. Equation of a line passing through (1,-2, 3) and parallel to the plane...

    Text Solution

    |

  9. The line (x-1)/(3)=(y-3)/(k)=(z+1)/(5) is perpendicular to the plane 6...

    Text Solution

    |

  10. The foot of the perpendicular from the point (1,2,3) to the line (x)/(...

    Text Solution

    |

  11. The image of the point (1, 2, 3) in the line (x)/(2)=(y-1)/(3)=(z-1)/(...

    Text Solution

    |

  12. The point of intersection of the lines (x-4)/(1)=(y+3)/(-4)=(z+1)/(4) ...

    Text Solution

    |

  13. The shortest distance· between the two· lines (x- 4) / 1 = (y+ 1) / 2 ...

    Text Solution

    |

  14. The equation of a line through (-2, 3, 4) and parallel to the planes 2...

    Text Solution

    |

  15. A plane which passes through the point (3,2,0) and the line (x-3)/(1)=...

    Text Solution

    |

  16. Distance of the origin from the point of intersection of the line (x)/...

    Text Solution

    |

  17. If the straight lines (x-1)/(k)=(y-2)/(2)=(z-3)/(3) and (x-2)/(3)=(y-3...

    Text Solution

    |

  18. A line makes the same angle theta, with each of the x and z axis. If t...

    Text Solution

    |

  19. If a line makes an angle of pi//4with the positive directions of each ...

    Text Solution

    |

  20. The line passing through the points (5,1,a) and (3,b,1) cross the yz -...

    Text Solution

    |