Home
Class 12
MATHS
The distance of the point (-1, -5, -10) ...

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

A

`2sqrt(11)`

B

`sqrt(126)`

C

`13`

D

`14`

Text Solution

Verified by Experts

The correct Answer is:
(c)
Promotional Banner

Topper's Solved these Questions

  • THREE DIMENSIONAL COORDINATE SYSTEM

    ARIHANT MATHS ENGLISH|Exercise Exercise (More Than One Correct Option Type Questions)|28 Videos
  • THREE DIMENSIONAL COORDINATE SYSTEM

    ARIHANT MATHS ENGLISH|Exercise Exercise (Statement I And Ii Type Questions)|12 Videos
  • THREE DIMENSIONAL COORDINATE SYSTEM

    ARIHANT MATHS ENGLISH|Exercise Exercise For Session 4|7 Videos
  • THEORY OF EQUATIONS

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|35 Videos
  • TRIGONOMETRIC EQUATIONS AND INEQUATIONS

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

Similar Questions

Explore conceptually related problems

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

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

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

On which of the following lines lies the point of intersection of the line, (x-4)/(2)=(y-5)/(2)=(z-3)/(1) and the plane, x+y+z=2 ?

Find the distance of the point P(-1,-5,-10) from the point of intersection of the line joining the points A(2,-1,2)a n dB(5,3,4) with the plane x-y+z=5.

Column I, Column II Image of the point (3,5,7) in the plane 2x+y+z=-18 is, p. (-1,1,-1) The point of intersection of the line (x-2)/(-3)=(y-1)/(-2)=(z-3)/2 and the plane 2x+y-z=3 is, q. (-21 ,-7,-5) The foot of the perpendicular from the point (1,1,2) to the plane 2x-2y+4z+5=0 is, r. (5/2,2/3,8/3) The intersection point of the lines (x-1)/2=(y-2)/3=(z-3)/4a n d(x-4)/5=(y-1)/2=z is, s. (-1/(12),(25)/(12),(-2)/(12))

Find the distance between the point with position vector hat i-5 hat j-10 hat k and the point of intersection of the line (x-2)/3=(y+1)/4=(z-2)/(12) with the plane x-y+z=5.

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

ARIHANT MATHS ENGLISH-THREE DIMENSIONAL COORDINATE SYSTEM-Exercise (Single Option Correct Type Questions)
  1. The equation of the plane which passes through the line of intersect...

    Text Solution

    |

  2. A straight line is given by r=(1+t)i+3tj+(1-t)k, where tinR. If this l...

    Text Solution

    |

  3. The distance of the point (-1, -5, -10) from the point of intersection...

    Text Solution

    |

  4. about to only mathematics

    Text Solution

    |

  5. The three vectors hat i+hat j,hat j+hat k, hat k+hat i taken two at a ...

    Text Solution

    |

  6. The orthogonal projection A' of the point A with position vector (1, 2...

    Text Solution

    |

  7. The equation of the line passing through (1, 1, 1) and perpendicular t...

    Text Solution

    |

  8. about to only mathematics

    Text Solution

    |

  9. The angle between the lines AB and CD, where A(0, 0, 0), B(1, 1, 1), C...

    Text Solution

    |

  10. The shortest distance of a point (1, 2, -3) from a plane making interc...

    Text Solution

    |

  11. A tetrahedron has vertices O (0,0,0), A(1,2,1,), B(2,1,3) and C(-1,1,2...

    Text Solution

    |

  12. The direction ratios of the line I1 passing through P(1, 3, 4) and per...

    Text Solution

    |

  13. Equation of the plane through three points A, B and C with position ve...

    Text Solution

    |

  14. OABC is a tetrahedron. The position vectors of A, B and C are i, i+j a...

    Text Solution

    |

  15. The plane x-y-z=4 is rotated through an angle 90^(@) about its line of...

    Text Solution

    |

  16. A(xy),(yz),A(zx) be the area of projections oif asn area a o the xy,yz...

    Text Solution

    |

  17. Through a point P(h,k,l) a plane is drawn at righat angle to OP to mee...

    Text Solution

    |

  18. The volume of the tetrahedron included between the plane 3x+4y-5z-60=0...

    Text Solution

    |

  19. Find the angle between the lines whose direction cosine are given by...

    Text Solution

    |

  20. The distance between the line r=2hat(i)-2hat(j)+3hat(k)+lambda(hat(i)-...

    Text Solution

    |