Home
Class 12
MATHS
The distance of the point (1, 0, 2) from...

The distance 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

`2sqrt14`

B

`8`

C

`3sqrt21`

D

13

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • THREE DIMENSIONAL GEOMETRY

    MODERN PUBLICATION|Exercise Recent Competitive Questions (RCQs)|10 Videos

  • THREE DIMENSIONAL GEOMETRY

    MODERN PUBLICATION|Exercise Recent Competitive Questions (RCQs)|10 Videos

  • STATISTICS

    MODERN PUBLICATION|Exercise QUESTION FROM KARNATAKA CET & COMED|3 Videos

  • TRIGONOMETRIC RATIOS, IDENTITIES AND EQUATIONS

    MODERN PUBLICATION|Exercise RECENT COMPETITIVE QUESTIONS|12 Videos

Similar Questions

Explore conceptually related problems

The distance of the point (2,3,-4) from the point of intersection of the line (x-1)/-3 = (y-2)/2 = (z-2)/1 and the plane 2x-3y-z-20 =0 is

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

The distance of the point (1, 2) from the line x+y=0 measured parallel to the line 3x-y=2 is :

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

The image of the line (x-1)/3=(y-3)/1=(z-4)/(-5) in the plane : 2x-y+z+3=0 is the line :

The point of intersection of the line (x-5)/3 = (y-7)/(-1) = (z+2)/1 , (x+3)/(-36) = (y-3)/2 = (z-6)/4 is

Find the distance of the point (-6, 0, 0) from the plane 2x - 3y + 6z = 2.

The image of the point (- 1, 3, 4) in the plane: x-2y=0 is:

MODERN PUBLICATION-THREE DIMENSIONAL GEOMETRY-AIEEE/JEE Examination
  1. A line AB in three-dimensional space makes angles 45^@ and 120^@ with ...

    Text Solution

    |

  2. Equation of the plane containing the straight line x/2=y/3=z/4 and per...

    Text Solution

    |

  3. If the distance of the point P (1,-2, 1) from the plane x + 2y - 2z = ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  7. If the lines : (x-1)/2 =(y+1)/3 =(z-1)/4 and (x-3)/1=(y-k)/2 =z/1 in...

    Text Solution

    |

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

    Text Solution

    |

  9. The equation of a plane passing through the line of intersection of th...

    Text Solution

    |

  10. The point P is the intersection of the straight line joining the point...

    Text Solution

    |

  11. Lines (x-2)/(1)=(y-3)/(1)=(z-4)/(-K) and (x-1)/(K)=(y-4)/(2)=(z-5)/(1)...

    Text Solution

    |

  12. Distance between two parallel planes: 2x + y + 2z = 8 and 4x + 2y + 4z...

    Text Solution

    |

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

    Text Solution

    |

  14. The angle between the lines whose direction cosines satisfy the equati...

    Text Solution

    |

  15. The distance of the point (1, 0, 2) from the point of intersection of ...

    Text Solution

    |

  16. The equation of the plane containing the line: 2x - 5y + z = 3, x + ...

    Text Solution

    |