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

`3sqrt(21)`

B

`2sqrt(14)`

C

13

D

8

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • PAIR OF STRAIGHT LINES

    NIKITA PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS|276 Videos

  • PROBABILITY DISTRIBUTION

    NIKITA PUBLICATION|Exercise MCQs|127 Videos

Similar Questions

Explore conceptually related problems

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 : (1)2sqrt(14)(2)8(3)3sqrt(21)(4)27

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

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 plane x-y+z=5 .

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

The point of intersection of the line (x)/(1)=(y-1)/(2)=(z+2)/(3) and the plane 2x+3y+z=0 is

Find the points of intersection of the line (x-2)/(-3)=(y-1)/2=(z-3)/2 and the plane 2x+y-z=3 .

NIKITA PUBLICATION-PLANE-MULTIOLE CHOICE QUESTIONS
  1. The foot of the perpendicular drown from to the origin to the plane x...

    Text Solution

    |

  2. The length of the perpendicular from origin to the plane x-3y+4z=6 is

    Text Solution

    |

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

    Text Solution

    |

  4. If plane passes through the point (1, 1,1) and is perpendicular to the...

    Text Solution

    |

  5. The foot of the perpendicular from the point A(7,14,5) to the plane 2x...

    Text Solution

    |

  6. Find the length and the foot of the perpendicular from the point (7...

    Text Solution

    |

  7. The equation of line passing through the point (2, 3, 4) and perpendic...

    Text Solution

    |

  8. Find the angles at which the normal vector to tehplane 4x+8y+z=5 is in...

    Text Solution

    |

  9. Find the angles at which the normal vector to tehplane 4x+8y+z=5 is in...

    Text Solution

    |

  10. The angle at which the normal vector to the plane 4x+8y+z=5 inclined ...

    Text Solution

    |

  11. The angle between the line of intersection of planes barr.(hati+3hatj-...

    Text Solution

    |

  12. The angle between the line of intersection of planes barr.(hati+3hatj-...

    Text Solution

    |

  13. The angle between the line of intersection of planes barr.(hati+3hatj-...

    Text Solution

    |

  14. Find the angle between the planes whose vector equations are barr ...

    Text Solution

    |

  15. The angle between planes barr.(2hati+hatj-hatk)=3andbarr.(hati+2hatj+h...

    Text Solution

    |

  16. If the angle between the planes r.(mhati-hatj+2hatk)+3=0 and r*(2hati-...

    Text Solution

    |

  17. The acute angle between the two planes x + y + 2z = 3 and 3x - 2y ...

    Text Solution

    |

  18. The angle between planes 3x-6y+2z=8and2x+2y-2z=10 is

    Text Solution

    |

  19. The angle between planes 3x-6y+2z=8and 2x+2y-2z=10 is

    Text Solution

    |

  20. If the planes ax+by+cz+d=0anda(1)x+b(1)y+c(1)z+d(1)=0 be mutually perp...

    Text Solution

    |