Home
Class 12
MATHS
The distance of the point (1,-5,9) from ...

The distance of the point `(1,-5,9)` from the plane `x-y+z=5` measured along a straighat line `x=y=z` is (A) `5sqrt(3)` (B) `3sqrt(10)` (C) `3sqrt(5)` (D) `10sqrt(3)`

A

`10sqrt(3)`

B

`5sqrt(3)`

C

`3sqrt(10)`

D

`3sqrt(5)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • THE DIMENSIONAL GEOMETRY

    MCGROW HILL PUBLICATION|Exercise SOLVED EXAMPLES (LEVEL 2( SINGLE CORRECT ANSWER TYPE QUESTIONS))|30 Videos

  • THE DIMENSIONAL GEOMETRY

    MCGROW HILL PUBLICATION|Exercise SOLVED EXAMPLES (NUMERICAL ANSWER TYPE QUESTIONS)|23 Videos

  • THE DIMENSIONAL GEOMETRY

    MCGROW HILL PUBLICATION|Exercise SOLVED EXAMPLES (CONCEPT-BASED (SINGLE CORRECT ANSWER TYPE QUESTIONS))|15 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

The distance of the point (1,-5,9) from the plane x-y+z=5 measured along the line x=y=z is

The distance of the point (1,2,3) from the plane x+y-z=5 measured along the straight line x=y=z is 5sqrt(3)(2)10sqrt(3)(3)3sqrt(10)3sqrt(5)(5)2sqrt(5)

The distance of the point (1,-5,""9) from the plane x-y+z=5 measured along the line x=y=z is : (1) 3sqrt(10) (2) 10sqrt(3) (3) (10)/(sqrt(3)) (4) (20)/3

The distance of the point (1,-5,9) from the plane x-y+z=5 measured along a straight line x=y=z is 10sqrt(m ) then the value of m is equal to

The distance of the point (1,-2,3) from the plane x-y+z=5 measured parallel to the line (x)/(2)=(y)/(3)=(z)/(-6), is

The distance of point (1,-2,-3) from plane x-y+z=5 measured parallel to the line x/2=y/3=z/(-6) is

MCGROW HILL PUBLICATION-THE DIMENSIONAL GEOMETRY -SOLVED EXAMPLES (LEVEL 1( SINGLE CORRECT ANSWER TYPE QUESTIONS))
  1. The distance between the line vecr = 2i - 2j + 3k + lamda(i - j + 4k)...

    Text Solution

    |

  2. then image of the point (-1,3,4) in the plane x-2y=0

    Text Solution

    |

  3. Let L be the line of intersection of the planes 2x+3y+z=1 and x+3y+2z=...

    Text Solution

    |

  4. If a line makes an angle of pi/4 with the positive directions of ea...

    Text Solution

    |

  5. Let vec(a) = hat(i) + hat(j) + hat(k),vec(b) = hat(i) - hat(j) + 2hat(...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

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

    Text Solution

    |

  12. The projections of a vector on the three coordinate axis are 6, 3 ,...

    Text Solution

    |

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

    Text Solution

    |

  14. (x+1)/3=(y+2)/1=(z+1)/2"and"(x-2)/1=(y+2)/2=(z-3)/3

    Text Solution

    |

  15. A line with positive direction cosines passes through the point P(2, –...

    Text Solution

    |

  16. The vertices of a triangle are A(1,0,0),B(0,2,0),C(0,0,3). If the dire...

    Text Solution

    |

  17. Find the equation of the plane which contains the two parallel lines ...

    Text Solution

    |

  18. The length of projection, of the line segment joining the points (1,-1...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |