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In DeltaABC, P is the mid point of BC,Q ...

In `DeltaABC`, P is the mid point of BC,Q divides CA internally in the ratio `2:1` and R divides AB externally in the ratio `1:2` then

A

R divides PQ externally in the ratio `2:1`

B

P,Q,R are collinear

C

P divides QR externally in the ratio `3:2`

D

Q divides PR internally in the ration `3:2`

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The correct Answer is:
B
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TARGET PUBLICATION-VECTORS-Critical Thinking
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  2. If 2bara+barb=3barc, then A divides BC in the ratio

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  3. In DeltaABC, P is the mid point of BC,Q divides CA internally in the r...

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  4. If overset(to)(a) =hat(i) - hat(k) , overset(to)(b) = x hat(i) + ...

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  5. If the points (1,1,2),(2,1,p),(1,0,3) and (2,2,0) are co-planar then ...

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  6. If the points A, B, C and D with position vectors overset(^)i+overset(...

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  7. If aoverset(^)i+overset(^)j+overset(^)k,overset(^)i-boverset(^)j+overs...

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  8. If the given vectors (-bc,b^2+bc,c^2+bc)(a^2+ac,-ac,c^2+ac) and (a^2+a...

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  9. If bara,barb,barc are non-zero, non collinear vectors, then the vector...

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  10. Given vectors bara,barb,barc such that bara.(barbxxbarc)=lambda!=0 the...

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  11. For any three vectors bara,barb and barc,(bara-barb)[(barb+barc)xx(bar...

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  12. If bara,barb and barc are three non-coplanar vectors, then : (bara + b...

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  13. If bar r=l(bar b xx bar c)+m(bar c xx bar a)+n(bar a xx bar b) and [...

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  14. The volume of parallelopiped with vector bara+2barb-barc,bara-barb and...

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  15. If the volume of parallelopiped with coterminus edges -poverset(^)i+5k...

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  16. If the volumes of tetrahearon where vertices (1,2,0),(2,0,4),(-1,2,0) ...

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  17. If D is the mid -point of side AB of DeltaABC, then bar(AB) + bar(BC)...

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  18. The vector bar(AB)=3hati+4hatk and bar(AC)=5hati-2hatj+4hatk are the s...

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  19. If G and Gprime are the centroids of the triangle ABC and AprimeBprime...

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  20. If S is circumcentre, O is orthocentre of DeltaABC, then vec(SA)+vec(...

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