Home
Class 12
MATHS
Find the distance of the point 2hati + h...

Find the distance of the point `2hati + hatj + hatk)` from the plane `barr *(hati + 2hatj +4hatk) = 13`.

A

`sqrt(21)`

B

`(13)/(sqrt(21))`

C

`(8)/(sqrt(21))`

D

`(5)/(sqrt(21))`

Text Solution

Verified by Experts

The correct Answer is:
D
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

Find the distance of the point hati + 2hatj - hatk from the plane barr*(hati - 2hatj + 4hatk) = 10 .

If the distance of points 2 hati + 3 hatj +lamda hatk from the plane barr .(3 hati + 2 hatj +6 hatk )=13 is 5 units then lamda =

Find the distance of the point hati+2hatj-hatk from the plane vecr.(hati-2hatj+4hatk)=10

Find the distance of the point (2hati-hatj-4hatk) from the plane vecr.(3hati-4hatj+12hatk)=9 .

Find the distance of the point (hati+2hatj-3hatk) from the plane vecr.(2hati-5hatj-hatk)=4 .

Find the perpendicular distance from the point (2hati+hatj-hatk) to the plane vecr.(i-2hatj+4hatk) = 3 .

Find the perpendicular distance from the point (2hati-hatj+4hatk) to the plane vecr.(3hati-4hatj+12hatk) = 1 .

Find the acute angle between the planes barr*(2hati + hatj - hatk) = 3 and barr*(hati + 2hatj + hatk) =1 .

NIKITA PUBLICATION-PLANE-MULTIOLE CHOICE QUESTIONS
  1. If the lines x = 1 + s, y = - 3 - lamda s , z = 1 + la...

    Text Solution

    |

  2. Find the distance of the point hati + 2hatj - hatk from the plane barr...

    Text Solution

    |

  3. Find the distance of the point 2hati + hatj + hatk) from the plane bar...

    Text Solution

    |

  4. If p(1) and p(2) are the lengths of perpendiculars from the points hat...

    Text Solution

    |

  5. If the points (1,1,p) and (-3,0,1) be equidistant from the plane vecr....

    Text Solution

    |

  6. If the line barr=(hati+hatj)+lamda(2hati+hatj+4hatk) is parallel to th...

    Text Solution

    |

  7. The distance of point (2,-1,0) from the plane 2x+y+2z+8=0 is

    Text Solution

    |

  8. Show that the points (-3,0,1) and (1,1,1) are equidistant from the pla...

    Text Solution

    |

  9. If d(1)andd(2) are the distances of points (2 ,3 ,4 ) and (1 , 1 ,4 ...

    Text Solution

    |

  10. Find the equations of the planes parallel to the plane x - 2y + 2z -4 ...

    Text Solution

    |

  11. Find the equations of the plane parallel to the plane x + 2y + 2z + 8 ...

    Text Solution

    |

  12. If the distance of the point (1,1,1) from the origin is half its dista...

    Text Solution

    |

  13. If the perpendicular distance of point A other than origin from the pl...

    Text Solution

    |

  14. The plane ax+by+cz=105 contain the lines 2x-y+z=3and3x+y+z=5 . If po...

    Text Solution

    |

  15. Which of the following is correct?

    Text Solution

    |

  16. The equation of a plane which cuts equal intercepts of unit length on ...

    Text Solution

    |

  17. If the plane x- 3y +5z= d passes through the point (1, 2, 4), then the...

    Text Solution

    |

  18. If a plane meets the co-ordinate axes in A ,B , C such that the centr...

    Text Solution

    |

  19. If a variable plane which is at a constant distance 3p from the origin...

    Text Solution

    |

  20. If plane meets co-ordinates axes at A , B ,C such that centroid of tri...

    Text Solution

    |