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Find the volume of the largest cylinde...

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

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XII BOARD PREVIOUS YEAR PAPER ENGLISH-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 largest 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. Show that the relation R in the set A = {1, 2, 3, 4, 5} given by R = {...

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

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

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

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

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

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

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

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

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

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

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

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

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  19. If vectors vec a=2 hat i+2 hat j+3 hat k ,\ vec b=- hat i+2 hat j+ h...

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  20. Find the shortest distance between the lines: vec r=6 hat i+2 hat j+2...

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