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The position vector of A is pbari+barj. ...

The position vector of A is `pbari+barj`. If A is rotated about O through an angle `pi//6` in anticlockwise direction, it conincides with B whose position verctor is `bari+qbarj`. The value of p,q are

A

`sqrt3,3`

B

`sqrt3,1/3`

C

`sqrt3,sqrt3 or 1/sqrt3,1/sqrt3`

D

`3,3 or 1/3,1/3`

Text Solution

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The correct Answer is:
C
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AAKASH SERIES-DOT PRODUCT OF TWO VECTORS-EXERCISE - II
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  4. If bara,barb are two vectors of magnitude 2 and inclined at 60^(@) ," ...

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  5. If bara.barb= 0and bara+barb " makes an angle of " 30^(@) with bara ,...

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  6. If (bara+barb)botbara, absbarb =sqrt2 absbara, then

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  7. The vectors 2bari -mbarj+3mbark and (1+m) bari -2m barj+bark include a...

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  8. If the angle between the vectors bara =lambdabari-7barj+3bark,barb=lam...

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  9. If the vectors bara = (lambda log(2) x) bari - 6barj + 3bark and barb ...

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  10. The value of 'x' for which the angle between bara=2x^(2)bari+4barxj+ba...

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  11. A vector bara of magnitude 50 is collinear with the vector 6bari -8bar...

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  12. A=(2,3,5), B(-1,3,2), C=(lambda,5,mu) are the vertices of a triangle. ...

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  13. The vector bara,barb,barc are equal in length and pair wise make equal...

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  14. Find unit vector orthogonal to the vector 3bari + 2barj + 6bark and co...

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  15. If bara=4bari+5barj-bark, barb=bari-4barj+5bark, barc=3bari+barj-bark ...

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  16. If barp=(3,-1,5), barq = (1,2,-3). A vector barr is such that it is ...

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  17. If bara,barb,barc " are unit vectors, then " abs(bara-barb)^(2)+abs(ba...

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  18. If kbara = 3barb+2barc, bara=-2barb+5barc " and if " barb and barc hav...

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  20. In a Delta ABC, bar(OA)= bara, bar(OB)=barb, bar(OC) = barc. if (bar...

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