Home
Class 11
MATHS
The distance between the origin and the ...

The distance between the origin and the centroid of the tetrahedron whose vertices are (0,0,0),(a,0,0),(0,b,0),(0,0,c) is

A

`sqrt(a^(2)+b^(2)+c^(2))`

B

`(sqrt(a^(2)+b^(2)+c^(2)))/(2)`

C

`(sqrt(a^(2)+b^(2)+c^(2)))/(4)`

D

`4sqrt(a^(2)+b^(2)+c^(2))`

Text Solution

Verified by Experts

The correct Answer is:
c
Promotional Banner

Topper's Solved these Questions

  • 3D COORDINATE SYSTEM

    AAKASH SERIES|Exercise LECTURE SHEET (EXERCISE-I) (Straight Objective Type Questions) (More than One correct answer Type Questions)|1 Videos

  • 3D COORDINATE SYSTEM

    AAKASH SERIES|Exercise LECTURE SHEET (EXERCISE-I) (Straight Objective Type Questions) (Matrix Matching Type Questions)|1 Videos

  • 2D-COORDINATE SYSTEM

    AAKASH SERIES|Exercise ADVANCED SUBJECTIVE TYPE QUESTIONS|14 Videos

  • 3D-COORDINATE SYSTEM

    AAKASH SERIES|Exercise PRACTICE EXERCISE|40 Videos

Similar Questions

Explore conceptually related problems

Statement-I : The coordinates of a point equidistant from the four point (a,0,0),(0,b,0),(0,0,c),(0,0,0) are (a/4,b/4,c/4) Statement-II : The distance between the origin and the centroid for the tetrahedron where vetrtice are (0,0,0),(a,0,0),(0,b,0),(0,0,c) is (sqrt(a^(2)+b^(2)+c^(2)))/4 Which of the above statements is correct :

The volume of the tetrabodron with vertices at (0,0,0), (1,0,0),(0,1,0), (0,0,1) is

|(a,p,q),(0,b,r),(0,0,c)|

The matrix [(a,0,0),(0,b,0),(0,0,c)] is

Find the volume of the tetrahedron, whose vertices are (1,2,1), (3,2,5),(2,-1,0),(-1,0,1) .

Find the volume of the tetrahedron, whose vertices are (1,2,1),(3,2,5) , (2,-1,0) and (-1,0,1).

AAKASH SERIES-3D COORDINATE SYSTEM-ADDITIONAL PRACTICE EXERCISE (LEVEL - II PRACTICE SHEET (ADVANCED)) (Integer Type Questions)
  1. The distance between the origin and the centroid of the tetrahedron wh...

    Text Solution

    |

  2. If the circumcentre of the triangle whose vertices are (3, 2, -5), (-...

    Text Solution

    |