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Show that the height of the cylinder ...

Show that the height of the cylinder of maximum volume that can be inscribed in a cone of height `h` is `1/3h`

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XII BOARDS PREVIOUS YEAR-BOARD PAPER SOLUTIONS-All Questions
  1. Solve the following differential equation: (x^2-y^2)dx+2x y\ dy=0 gi...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  17. A factory owner purchases two types of machines, A and B for his fa...

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

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

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

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