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If overline(a) and overline(b) are posit...

If `overline(a) and overline(b)` are position verctors of A and B respectively, then the position vector of point C in produced AB such that `overline(AC)=3overline(AB)` is

A

`3overline(a)-overline(b)`

B

`3overline(b)-overline(a)`

C

`3overline(a)-2overline(b)`

D

`3overline(b)-2overline(a)`

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The correct Answer is:
D
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NIKITA PUBLICATION-VECTOR-MULTIPLE CHOICE QUESTIONS
  1. overline(AB)-overline(CB)+overline(DA)+2overline(CD)=

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  2. If A, B, C, D, E are five coplanar points, then overline(DA)+overline...

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  3. If overline(a) and overline(b) are position verctors of A and B respec...

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  4. overline(OA)+6overline(BC)+overline(AB)+5overline(OB)=

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  5. If D ,\ E ,\ F are the mid points of the side B C ,\ C A and A B respe...

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  6. In triangle ABC, if 2overline(AC)=3overline(CB), then 2overline(OA)+3o...

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  7. If C is the mid-point of AB and P is any point outside AB, then

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  8. If A, B, C are the vertices of a triangle whose position vectros are v...

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  9. D, E, F are the midpoints of the sides BC, CA and AB respectively of t...

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  10. if D,E and F are the mid-points of the sides BC,CA and AB respectively...

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  11. X and Y are points on the sides AB and BC respectively of triangleABC ...

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  12. If D, E, F are the mid-points of the sides BC, CA and AB respectively ...

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  13. If A, B, C, D are four non-collinear points in the plane such that ove...

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  14. Which of the following is trues?

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  15. If G1 and G2 are the centroid of triangleABC and trianglePQR respectiv...

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  16. P, Q, R are the mid-points of the sides BC, AC, and AB respectively of...

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  17. If G is the point of concurrence of the median of triangleABC, then ov...

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  18. Let G be the centroid of a triangle PQR and S be any other point, the ...

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  19. If G is the centroid of triangle ABC and L is a point on BC, such that...

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  20. If G is the point of concurrence of the median of triangleABC, then ov...

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