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Find the volume of the larges cylinde...

Find the volume of the larges cylinder that can be inscribed in a sphere of radius `r`

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XII BOARDS PREVIOUS YEAR-BOARD PAPER SOLUTIONS-All Questions
  1. Evaluate: intsinxsin2xsin3x dx

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  2. A tank with rectangular base and rectangular sides, open at the top...

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  3. Find the volume of the larges cylinder that can be inscribed in a s...

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  4. If [(2,3),(5,7)] [(1,-3),(-2,4)]=[(-4,6),(-9,x)], write the value of x

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  5. If y=e^a cos^((-1)x)\ ,\ -1\ lt=xlt=1, show that (1-x^2)(d^2y)/(dx^2)-...

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  6. If x\ sqrt(1+y)+y\ sqrt(1+x\ )\ 0,\ -1<x<1,\ x!=y , then prove that...

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  7. Show that the relation R in the set A = {1, 2, 3, 4, 5} given by R = {...

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  8. Evaluate: int2^3 1/x\ dx

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  9. Three bags contain balls as shown in the table below: Bag Numb...

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  10. A diet is to contain at least 80 units of Vitamin A and 100 units o...

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  11. Using matrices, solve the following system of equations: 2x-3y+5z=11...

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  12. Find the equation of the plane passing through the point (-1,3,2) and ...

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  13. Using the method of integration find the area of the region bounded b...

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  14. Show that: tan(1/2sin^(-1)(3/4))=(4-sqrt(7))/3

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  15. Find the probability of throwing at most 2 sixes in 6 throws of a s...

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  16. Find the equation of the plane passing through the point (1, 3, 2) ...

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  17. A window is in the form of a rectangle surmounted by a semi-circula...

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  18. Using the method of integration, find the area of the region bounde...

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  19. Find the mean number of heads in three tosses of a fair coin.

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  20. The lengths of the sides of an isosceles triangle are 9+x^2,9+x^2 and ...

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