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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 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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AAKASH SERIES-3D-COORDINATE SYSTEM-PRACTICE EXERCISE
  1. In DeltaABC, A(4,5,6), B(3,2,1), C(5,4,3). If p,q,r are lengths of the...

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  2. Centroid of triangle formed by feet of perpendicular from (-3,-6,-9) o...

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

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  4. In the tetrahedrom ABCD, A=(1,2,-3) and G=(-3,4,5) is cntroid of tetra...

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

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  6. Statement-I : The coordinates of a point equidistant from the four poi...

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

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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. A (3,4,5), C(-1,6,1) are the vetrices of a triangle then Statement-I...

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

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  11. If the Internal bisector of angleAOB where 0=(0,0,0), A =(3,4,12), B=(...

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  12. Statement-I : If (2,3,5),(3,5,2) and (5,2,3) are the vertices of a tri...

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  13. Locus of x^(2)+y^(2)+z^(2)=0 is

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  14. The locus of a point for which the sum the squares of the ditance from...

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  15. Show that the point whose distance from Y-axis in thrice its distance ...

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  16. ABC is a right angled triangle right angled at A. If B(2,0,2) and C(0,...

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  17. The locus of the point P such that PA^(2)+PB^(2)=10 where A=(2,3,4), B...

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  18. The locus of the point P such that PA^2+PB^2=2PC^2 where A=(1,3,2),B=(...

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  19. If the locus of a point which is equidistant form (2,3,-1) and (-3,4,-...

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  20. The coordinates of the point (3,-7,5) in the new system when the origi...

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