Home
Class 12
MATHS
let Q be the foot of perpendicular from ...

let `Q` be the foot of perpendicular from the origin to the plane `4x-3y+z+13=0` and `R` be a point `(-1,1,-6)` on the plane then length `QR` is

A

`sqrt(14)`

B

`sqrt(19//2)`

C

`3sqrt(7//2)`

D

`3//sqrt(2)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • THE DIMENSIONAL GEOMETRY

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS. B-ARCHITECTURE ENTRANCE EXAMINATION PAPERS|25 Videos
  • THE DIMENSIONAL GEOMETRY

    MCGROW HILL PUBLICATION|Exercise EXERCISE (NUMERICAL ANSWER TYPE QUESTIONS)|20 Videos
  • STATISTICS

    MCGROW HILL PUBLICATION|Exercise QUESTION FROM PREVIOUS YEARS. B-ARCHITECTURE ENTRANCE EXAMINATION PAPERS|13 Videos
  • TRIGONOMETRICAL IDENTITIES AND EQUATIONS

    MCGROW HILL PUBLICATION|Exercise Questions from Previous Years. B-Architecture Entrance Examination Papers|20 Videos

Similar Questions

Explore conceptually related problems

Foot of perpendicular drawn from the origin to the plane 2x-3y+4z=29 is

The foot of the perpendicular drawn from the origin to the plane x+y+z=3 is

The foot of the perpendicular drow from origin to the plane x+y+3z-4=0 is

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

Let A be the foot of the perpendicular from the origin to the plane x-2y+2z+6=0 and B(0, -1, -4) be a point on the plane. Then, the length of AB is

The foot of the perpendicular from the point P(1,3,4) to the plane 2x-y+z+3=0 is

The foot of the perpendicular drown from to the origin to the plane x+y+3z-8=0 is

Find the length of the perpendicular drawn from the origin to the plane 2x-3y+6z+21=0

MCGROW HILL PUBLICATION-THE DIMENSIONAL GEOMETRY -QUESTIONS FROM PREVIOUS YEARS. AIEEE/JEE MAIN PAPERS
  1. Distance between two parallel planes 2x+y+2z=8 and 4x+2y+4z+5=0 is

    Text Solution

    |

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

    Text Solution

    |

  3. let Q be the foot of perpendicular from the origin to the plane 4x-3y+...

    Text Solution

    |

  4. the acute angle between two lines such that the direction cosines l, m...

    Text Solution

    |

  5. If two lines L, and L, in space, are definedby L1={x=lambda y+(sqrtla...

    Text Solution

    |

  6. if the projections of a line segment on the x, y and z-axes in 3-dimen...

    Text Solution

    |

  7. A B C is a triangle and A=(235)dotB=(-1,3,2)a n dC=(lambda,5,mu)dot If...

    Text Solution

    |

  8. the equation of a plane through the line of intersection the planes x+...

    Text Solution

    |

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

    Text Solution

    |

  10. The angle between the lines whose direction cosines satisfy the equ...

    Text Solution

    |

  11. Equation of plane which passes through the intersection point of the l...

    Text Solution

    |

  12. A line in 3-dimensional space makes an angle theta(0ltthetalepi//2) wi...

    Text Solution

    |

  13. Let A(2, 3, 5), B(-1, 3, 2), C(lambda, 5, mu) are the vertices of a tr...

    Text Solution

    |

  14. The plane containing the line (x-1)/(1)=(y-2)/(2)=(z-3)/(3) and parall...

    Text Solution

    |

  15. A symmetrical form of the line of intersection of the planes x=ay+b an...

    Text Solution

    |

  16. If the distance between planes 4x-2y-4x + 1 = 0 and 4x-2y-4x + d =0 i...

    Text Solution

    |

  17. Equation of the line of the shortest distance between the lines x/1=y/...

    Text Solution

    |

  18. If the angle between the lines 2(x+1)=y=z+4 and the plane 2x-y+sqrt(la...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |