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D(2,1,0) ,E(2,0,0),F(0,1,0) are midpoin...

`D(2,1,0) ,E(2,0,0),F(0,1,0) ` are midpoints of the sides BC,CA,AB of `DeltaABC` respectively . The , the centroid of `DeltaABc` is

A

`(1/3,1/3,1/3)`

B

`(4/3,2/3,0)`

C

`(-1/3,1/3,1/3)`

D

`(-2/3,1/3,1/3)`

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

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

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

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

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

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

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

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

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  10. If the points (3,2,-4) ,(5,4k),(9,8-10)are collinear then k =

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  11. If (k,1,5) ,(1,0,3),(7,-2,1) are collinear then (k,-1)=

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  12. The locus of a point which is at a distance of 5 unit from (2,1,-3) is

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  13. The locus of a point which is at a distance of 2 unit from yz - plane ...

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

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  15. The locus of point which is equidistant from the points (-2,2,3),(3,...

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  16. The locus of a point for which the sum of the squares of the distances...

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  17. The locus of a point P from which the distance to the point (1,1,1) is...

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  18. The locus of a point P from which the distance to the point (2,3,-1) i...

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  19. The locus of a point P such that distances from P to the points (2,3,5...

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  20. The locus of a point P such that 3PA = 2PB where A = (2,3,4) B=(-3,2,5...

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