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If the centroid of the tetrahedron is (0...

If the centroid of the tetrahedron is `(0,-1,5/2)` and three vertices are (-2,3,4), (3,-4,2),(2,-5,1) then the fourth vertex is

A

(-3,2,3)

B

(1,0,5)

C

(0,-1,5)

D

(5,-1,0)

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The correct Answer is:
A
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AAKASH SERIES-3D-COORDINATE SYSTEM-EXERCISE-1
  1. alpha, beta, gamma are the root of x^(3)-2x^(2)-x+2=0. Centroid of tr...

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  2. The distance between the origin and the centroid of the tetrahedron wh...

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

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

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

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

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  7. Assertion (A) : P(3,5,4), Q(6,5,7) are the vertice of a triangle whose...

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

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

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

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

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

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

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

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

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  17. A (3,2,0), B(5,3,2), C(-9,6,-3) are three points forming a triangle th...

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

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

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  20. The locus of equation x^(2)+y^(2)+z^(2)+1=0 is

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