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If ` vec a= hat i+ hat j+ hat k\ a n d` ` vec b= hat j- hat k ,` find a vector ` vec c` such that ` vec a\ "x"\ vec c= vec b` and ` vec adot\ vec c=3`

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XII BOARDS PREVIOUS YEAR-BOARD PAPER SOLUTIONS-All Questions
  1. For what value of k is the following function continuous at x=2? ...

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  2. If vec a+ vec b+ vec c=0 and | vec a|=3,\ | vec b|=5 and | vec c|=7 ...

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  3. If vec a= hat i+ hat j+ hat k\ a n d vec b= hat j- hat k , find a ...

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  4. Using integration find the area of the region bounded by the parabo...

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  5. Solve the following differential equation: (x^2-y^2)dx+2x y\ dy=0 gi...

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  6. Solve the following differential equation: (dy)/(dx)=(x\ (2y-x))/(x\ (...

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  7. Show that the height of the cylinder of maximum volume that can be ...

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  8. Show that the rectangle of maximum area that can be inscribed in a ...

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  9. Find a unit vector in the direction of vec a=3 hat i-2 hat j+6 hat...

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  10. Find the angle between the vectors vec a= hat i- hat j+\ hat k\ a...

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  11. If A=|(1,2,2),(2,1,2),(2,2,1)|, verifty that A^2-4A-5I-5I=0

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  12. A pair of dice is thrown 4 times. If getting a doublet is considere...

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  13. Using properties of determinants, prove the following |(alpha,beta,ga...

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  14. If "f"("x")=x+7 and g(x)=x-7,\ x\ \ R , find (fog)(7)

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  15. Evaluate : sin[pi/3-sin^(-1) (-1/2)]

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  16. Find the value of x and y If : 2[[1,3],[0,x]]+[[y,0],[1,2]]=[[5,6],[1...

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  17. Evaluate |(a+ib,c+id),(-c+id,a-ib)|

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  18. Find the cofactor of a12 in the following |(2,-3,5),(6,0,4),(1,5,-7)|

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  19. Evaluate int(x^2)/(1+x^3)dx" "

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  20. Evaluate : int0^1(dx)/(1+x^2)

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