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If (2,1,1) is the centroid of the triang...

If (2,1,1) is the centroid of the triangle for which (3,2,-1) ,(2,-2,5) are two vertices then the third vertex is

A

(1,2,9)

B

(-10,4,-9)

C

(-1,-5,-2)

D

(1,3,-1)

Text Solution

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The correct Answer is:
b
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AAKASH SERIES-3D COORDINATE SYSTEM-PRACTICE SHEET (EXERCISE-I) (LEVEL-I) (Straight Objective Type Questions)
  1. If h, k are the perpendicular distances from (4, 2, 5) to the x-axis, ...

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

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  3. The points (-2, 3, 5 ) (1,2,3 ) (7,0,-1 ) are

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  4. The point collinear with (1, -2 -3 ) and (2, 0, 0 ) among the follow...

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  5. XOZ plane divides the join of (2,3,1 ) and (6,7,1 ) in the ratio

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  6. The ratio in which yz-plane divides the line segment joining (-3,4,2 )...

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  7. A = (2, 4, 5) and B=(3, 5, -4) are two points. If the xy-plane, yz-pla...

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  8. If the zx-plane divides the line segment joining (1, -1, 5) and (2, ...

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  9. If X-coordinate of a point P on the line joining the points Q (2,2,1 ...

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  10. The point dividing the join of (3, -2, 1) and (-2, 3, 11) in the ratio...

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  11. If the line joining A (1,3, 4 )and B is divided by the point (-2, 3,5 ...

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  12. If A = (1, 2, 3), B = (2, 3, 4) and AB is produced upto C such that...

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  13. If (2, 1, 3), (3, 2, 5), (1, 2, 4) are the mid points of the sides BC,...

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  14. 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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  15. If (2,1,1) is the centroid of the triangle for which (3,2,-1) ,(2,-2,5...

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

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

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

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  19. Equation to the locus of points which are equal distance from the poin...

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  20. The locus of the point which is equidistant from xy plane and yz - pla...

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