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

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

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XII BOARD PREVIOUS YEAR PAPER ENGLISH-BOARD PAPER SOLUTIONS-All Questions
  1. Show that the height of the cylinder of maximum volume that can be ...

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  2. Show that of all the rectangles inscribed in a given fixed circle, ...

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

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

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  5. If A=[(1, 2, 2),( 2, 1, 2), (2, 2, 1)], verify that A^2-4A-5I=0

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  6. A pair of dice is thrown 4 times. If getting a doublet is considered a...

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  7. Using properties of determinants, prove the following: \begin{vmatr...

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

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  9. Find the value of sin[pi/3 - sin^(-1) (- 1/2)]

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  10. Find the value of x\ and y\ if "2" [(1,3) ,(0,x)]+ "[(y ,0 ),(1 ,2)]...

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  11. Evaluate: |{:(" "a+ib,c+id),(-c+id,a-ib):}|

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  12. Find the cofactor of a(12) in the following: [(2,-3,5), (6 ,0 ,4), (...

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

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

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  15. A factory owner purchases two types of machines, A and B for his fac...

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  16. An insurance company insured 2000 scooter drivers, 4000 car drivers...

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  17. Evaluate: int(-a)^a\ sqrt((a-x)/(a+x))\ dx\ \

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  18. Find the equation of the plane passing through the point (3,4,1) an...

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  19. Find the shortest distance between the following lines: (x-3)/1=(y-5)/...

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  20. Find the point on the line (x+2)/3=(y+1\ )/2=(z-3\ )/2 at a distanc...

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