Home
Class 12
MATHS
The disatance of the point (1, 0, 2) fro...

The disatance of the point `(1, 0, 2)` from the point of intersection of the line `(x-2)/(3)=(y+1)/(4)=(z-2)/(12)` and the plane `x-y+z=16`, is

A

`2sqrt(14)`

B

`8`

C

`3sqrt(21)`

D

`13`

Text Solution

Verified by Experts

The correct Answer is:
(d)
Promotional Banner

Topper's Solved these Questions

  • THREE DIMENSIONAL COORDINATE SYSTEM

    ARIHANT MATHS|Exercise Three Dimensional Coordinate System Exercise 12 : Question Asked in Previous Years Exam|2 Videos

  • THREE DIMENSIONAL COORDINATE SYSTEM

    ARIHANT MATHS|Exercise Three Dimensional Coordinate System Exercise 11 : Subjective Type Questions|1 Videos

  • THEORY OF EQUATIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|35 Videos

  • TRIGONOMETRIC EQUATIONS AND INEQUATIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|12 Videos

Similar Questions

Explore conceptually related problems

The distance of the point (1,0,2) from the poitn of intersection of the line (x-2)/3=(y+1)/4=(z-2)/12 and the plane x-y+z=16 is :

Find the distance of the point (-3 -4, -5) from the point of Intersection of the line (x-2)/3=(y+1)/4=(z-2)/12 and the plane x - y + z=5.

Find the distance of the point (-1, -5, -10) from the point of intersection of the (x-2)/3=(y+1)/4=(z-2)/12 and the plane x-y + z= 5.

Find the distance of the point (- 1, - 5, - 10) from the point of intersection of the line x-2/3=y+1/4=z-2/12 and the plane x-y+z=5

find the distance of the point (-1, -6, -9) from the point of Intersection of the line (x-2)/3=(y+2)/4=(z+2)/12 and the plane x - y + z = 5

Find the distace of a point (2,12,5) from the point where the line (x-2)/(3)=(y+4)/(4)=(z-2)/(2) meets the plane x-2y+z=0

The distance of the point (2,1,-1) from the plane x-2y+4z=9 is :

Find the projection of the line (x-1)/2=(y+1)/-1=(z-3)/4 in the plane x+2y+z-9=0 .

ARIHANT MATHS-THREE DIMENSIONAL COORDINATE SYSTEM-Exercise (Questions Asked In Previous 13 Years Exam)
  1. The distance of the point (1, -5, 9) from the plane x-y+z=5 measured a...

    Text Solution

    |

  2. If the line, (x-3)/2=(y+2)/(-1)=(z+4)/3 lies in the place, l x+m y-z=9...

    Text Solution

    |

  3. The disatance of the point (1, 0, 2) from the point of intersection of...

    Text Solution

    |

  4. The equation of the plane containing the line 2x-5y""+""z""=""3;""x...

    Text Solution

    |

  5. The angle between the lines whose direction cosines satisfy the equa...

    Text Solution

    |

  6. The image of the line (x-1)/3=(y-3)/1=(z-4)/(-5) in the plane 2x-y+z...

    Text Solution

    |

  7. Distance between two parallel planes 2x+y+2z=8 and 4x+2y+4z+5=0 is

    Text Solution

    |

  8. If the lines (x-2)/1=(y-3)/1=(z-4)/(-k) and (x-1)/k=(y-4)/2=(z-5)/1 ar...

    Text Solution

    |

  9. An equation of a plane parallel to the plane x-2y+2z-5=0 and at a unit...

    Text Solution

    |

  10. If the line (x-1)/(2)=(y+1)/(3)=(z-1)/(4) and (x-3)/(1)=(y-k)/(2)=(z)/...

    Text Solution

    |

  11. If the angle between the line x=(y-1)/(2)=(z-3)(lambda) and the plane ...

    Text Solution

    |

  12. Statement-I The point A(1, 0, 7) is the mirror image of the point B(1,...

    Text Solution

    |

  13. The length of the perpendicular drawn from the point (3, -1, 11) to th...

    Text Solution

    |

  14. The distance of the point (1,-5,""9) from the plane x-y+z=5 measured a...

    Text Solution

    |

  15. A line AB in three-dimensional space makes angles 45^(@) and 120^(@) w...

    Text Solution

    |

  16. Statement-I The point A(3, 1, 6) is the mirror image of the point B(1,...

    Text Solution

    |

  17. Let the line (x-2)/(3)=(y-1)/(-5)=(z+2)/(2) lies in the plane x+3y-alp...

    Text Solution

    |

  18. The projection of a vector on the three coordinate axes are 6, -3, 2, ...

    Text Solution

    |

  19. The line passing through the points (5, 1, a) and (3, b, 1) crosses th...

    Text Solution

    |

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

    Text Solution

    |