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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
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AAKASH SERIES-3D-COORDINATE SYSTEM-EXERCISE-1
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  3. The distance between the origin and the centroid of the tetrahedron wh...

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  4. If the centroid of the tetrahedron is (0,-1,5/2) and three vertices ar...

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  5. The coordinates of a point equidistant from the four points (a,0,0),(0...

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  6. The circumcentre of the triangle formed by the pointgs (1,2,3), (3,-1,...

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  9. The distance between the circumcentre and the orthocentre of DeltaABC ...

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  10. If the orthocentre and the circucentre of are (-3,5,2) ,(6,2,5) then i...

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  11. If H,G,S, I are respectively othercentre centroid , circumcentre and i...

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  12. A(0,2,3), B(2,-1,5),C(3,0, -3) are vertices of DeltaABC. If a,b,c are ...

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  13. If (1,2,3 ), (2,3,1 ) are two vertices of an equilateral triangle then...

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  14. The distance between the circumcentre and the orthocentre of the trian...

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  15. Find the incentre of the DeltaABC with vertices A(0,0,4), B(3,0,4), C(...

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  16. If origin is the orthocentre of a triangle formed bythe points (cos al...

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  17. The x, y, z coordinates of each vertex of a triangle are in A.P. The x...

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  19. A (4,3,5), B(0,-2,2) and C( 3,2,1) are three points. The coordinates o...

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  20. Let A (4, 7, 8), B (2, 3, 4) and C (2, 5, 7) be the position vectors o...

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