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If A(a,2,2),B(a,b,1) and C(1,2,-2) are t...

If `A(a,2,2),B(a,b,1) and C(1,2,-2)` are the vertices of triangle `ABC and G(2,1,c)` is centroid, then values of `a,b and c` are

A

`a=(1)/(2),b=1,c=1`

B

`a=5/2,b=-1,c=1/3`

C

`a=-1,b=1,c=3/2`

D

`a=1/2,b=1/2,c-1`

Text Solution

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The correct Answer is:
B
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TARGET PUBLICATION-VECTORS-Evaluation Test
  1. If A(a,2,2),B(a,b,1) and C(1,2,-2) are the vertices of triangle ABC an...

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  2. Given bara, barb, barc are three non-zero vectors, no two of which are...

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  3. If bara,barb,barc are three non-coplanar vectors such that barr1=bara-...

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  4. Let a,b,c be distinct non- negative numbers . If the vectors ah...

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  5. The edges of a parallelopiped are of unit length and are parallel to ...

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  6. If the vectors aoverset(^)i+overset(^)j+overset(^)k,overset(^)i+bovers...

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  7. The value of a so that volume of parallelopiped formed by vectors over...

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  8. If bara.barb=barb.barc=barc.bara=0 then the value of [bara" "barb" "ba...

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  9. Let bara=-overset(^)i-overset(^)k,barb=-overset(^)i+overset(^)j and ba...

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  10. If bara and barb are vectors such that |bara+barb|=sqrt(29) and baraxx...

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  11. If the vectors veca, vecb, vecc are non -coplanar and l,m,n are distin...

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  12. P is any point on the circumference of the circumcircle of DeltaABC. ...

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  13. The three vectors 10overset(^)i+13overset(^)j+16overset(^)k,30overset(...

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  14. If the volume of parallelopiped whose concurrent edges are 3overset(^)...

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  15. If the vectors 5overset(^)i-xoverset(^)j+3overset(^)k and -3overset(^)...

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  16. If the position vector of p is 3barp+barq and barp divides PQ intern...

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  17. A(bara)=3overset(^)i+2overset(^)j,B(barb)=5overset(^)i+3overset(^)j+2o...

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  18. In DeltaABC the mid points of the sides AB, BC and CA are (l, 0, 0)...

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  19. Find the coordinates of the foot of the perpendicular drawn from po...

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