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The position vectors of four points A, B, C and D in the plane are `vec(a),vec(b),vec( c )` and `vec(d)`. If `(vec(a)-vec(d)).(vec(b)-vec( c ))=(vec(b)-vec(d)).(vec( c )-vec(a))=0` then D is a ………………is `DeltaABC`.

A

In centre

B

circum centre

C

ortho centre

D

centriod

Text Solution

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The correct Answer is:
C
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KUMAR PRAKASHAN-VECTOR ALGEBRA -Solutions of NCERT Exemplar Problems (Multiple Choice Questions (MCQs) )
  1. DeltaABC is an equilateral triangle. Its side is l. Any point P lies o...

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  2. vec(a)=2hati+hatj+hatk and vec(b)=hati-hatj-hatk are the adjacent side...

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  3. The position vectors of four points A, B, C and D in the plane are vec...

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  4. If vec(alpha)=(1)/(a)hati+(4)/(b)hatj+b hatk and vec(beta)=b hati+a ha...

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  5. The unit vectors vec(a),vec(b) and vec( c ) are not coplanar. If vec(a...

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  6. If vec(x)+vec(y)+vec(z)=0 and |vec(x)|=|vec(y)|=|vec(z)|=2 If the angl...

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  7. vec(a)=2hati-hatj+hatk,vec(b)=hati+2hatj-hatk,vec( c )=hati+hatj-2hatk...

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  8. vec(a)=hati+hatj+sqrt(2)hatk,vec(b)=b(1)hati+b(2)hatj+sqrt(2)hatk and ...

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  9. vec(a)=2hati+lambda(1)hatj+3hatk,vec(b)=4hati+(3-lambda(2))hatj+6hatk ...

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  10. squareABCD is a parallelogram vec(AB)=bar(q),vec(AD)=bar(p),angleBAC i...

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  11. The position vectors of A, B and C are 2hati-hatj+hatk,hati-3hatj-5hat...

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  12. A particle is acted upon constant forces vec(F)(1)=4hati+hatj-3hatk an...

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  13. Let vec(u),vec(v) and vec(w) be such that |vec(u)|=1,|vec(v)|=2,|vec(w...

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  14. The centroid of DeltaABC is G. The angle between vec(GB) and vec(GC) i...

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  15. The area of the parallelogram whose diagonals are hatj+hatk and hati+h...

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  16. The area of the parallelogram whose adjacent side is hati+hatk and hat...

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  17. If bar(x) and bar(y) are non zero, non collinear vector then the numbe...

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  18. If |bar(x).bar(y)|=cos alpha, then |bar(x)xx bar(y)| = …………….

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  19. If bar(a)=(2,0,1) and bar(b)=(1,1,1) then sin(bar(a)""(,)^(hat)bar(b))...

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  20. The unit vector perpendicular to both the vectors (3, -1, 0) and (-2, ...

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