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In triangleABC, if the points P, Q, R di...

In `triangleABC,` if the points P, Q, R divides the sides BC, CA, AB in the ratio 1:4, 3:2, 3:7 respectively and the point S divides side AB in the ratio 1:3, then `(overline(AP)+overline(BQ)+overline(CR)):(overline(CS))`=

A

`2:5`

B

`5:2`

C

`4:5`

D

`5:4`

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The correct Answer is:
A
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NIKITA PUBLICATION-VECTOR-MULTIPLE CHOICE QUESTIONS
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  2. The positon vectors of points P, Q, R are given by overline(p)=overlin...

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  3. In triangleABC, if the points P, Q, R divides the sides BC, CA, AB in ...

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  4. If the origin is the centroid of the triangle whose vertices are A (2,...

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  5. If G(a,2,-1) is the centroid of the triangle with vertices P(1,3,2),Q(...

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  6. If G(r, (-4)/(3), (1)/(3)) is centroid of the triangle having vertices...

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  7. If G(-1, 2, 1) is the centroid triangle ABC whose two vertices are A(3...

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  8. If A(2, -2, 3), B(x, 4, -1), C(3, x, -5) are the vertices and G(2, 1, ...

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  9. If A(1, 4, 2), B(-2, 3, -5) are two vertices A and B and G((4)/(3), 0,...

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  10. The incentre of triangle whose vertices are A(0, 3, 0), B(0, 0, 4), C(...

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  11. The incentre of triangle whose vertices are A(0, 3, 0), B(0, 0, 4), C(...

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  12. The incentre of triangle whose vertices are P(0, 2, 1), Q(-2, 0, 0), R...

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  13. overline(PQ)-overline(TQ)+overline(PS)+overline(ST)=

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  14. overline(AB)-overline(CB)+overline(DA)+2overline(CD)=

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

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

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

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

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

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

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