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If the origin is the centroid of the tet...

If the origin is the centroid of the tetrahedron for which (2,-1,3) ,(-1,3,1) ,(3,4,-2) are three vertices then the fourth vertex is

A

(4,6,2)

B

`(-4,-6,-2)`

C

`(-4,6,-2)`

D

(4,-6,2)

Text Solution

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The correct Answer is:
B
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DIPTI PUBLICATION ( AP EAMET)-COORDINATE SYSTEM (3D)-EXERCISE 1
  1. If the centroid of the triangle formed by (a,1,3) ,(-2,b,-5) and (4,7,...

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  2. The centroid of the tetrahedron formed by the points (3,2,5) ,(-3,8,-5...

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  3. If the origin is the centroid of the tetrahedron for which (2,-1,3) ,(...

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  4. If (2,3,4) is the centroid of the tetrahedron for which (2,3,-1) ,(3,0...

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  5. The centroid of the tetrahedron ABCD divides the line joining the vert...

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  6. The centroid of the triangle formed by the points (1,2,3),(3,-1,5),(4,...

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  7. The centroid of the triangle formed by the points (1,2,3),(2,3,1),(3,1...

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  8. The centroid of the triangle formed by the points (2,-1,1),(1,-3,-5),(...

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  9. The centroid of the triangle formed by the points (2,1,5),(3,2,3),(4,0...

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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 the orthocentre and the circucentre of a triangle are (-3,5,1),(3,3...

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  12. The incentre of the triangle formed by (0,0,0),(3,0,0),(0,4,0) is

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  13. A : If (2,1,-3) , (-2,3,4) , (1,2,2) are the midpoints of bar(BC) ,ba...

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  14. The points D,E,F are the midpoints of the sides bar(BC),bar(CA),bar(AB...

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  15. D(2,1,0) ,E(2,0,0),F(0,1,0) are midpoints of the sides BC,CA,AB of De...

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  16. In DeltaABC the mid-point of the sides AB,BC and CA are respectively (...

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  17. If the extremities of a diagonal of square are (1,-2,3),(2,-3,5) then ...

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  18. If (5,7,10),(1,9,6) are the extremities of the hypotenuse of a right a...

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  19. The circumradius of the triangle formed by the points (2,-1,1),(1,-3,-...

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

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