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Show that the right circular cylinder, o...

Show that the right circular cylinder, open at the top, and of given surface area and maximum volume is such that its height is equal to the radius of the base.

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XII BOARDS PREVIOUS YEAR-BOARD PAPER SOLUTIONS-All Questions
  1. Using properties of determinants, prove that |(-a^2,ab,ac),(ba,-b^2,bc...

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  2. Write the principal value of t a n^(-1)[t a n(3pi)/4]dot

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  3. Show that the right circular cylinder, open at the top, and of give...

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  4. The points A(4, 5, 10), B(2, 3, 4) and C (1, 2,-1) are thr...

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  5. A small firm manufactures gold rings and chains. The total number o...

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  6. Find the particular solution of the differential equation satisfyin...

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  7. Find the points on the curve y=x^3 at which the slope of the tangen...

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  8. Find the area of the region bounded by the curves x^(2)+y^(2)=4 and (x...

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  9. Using properties of determinants, show the following: |[(b+c)^2,ab, ...

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  10. Find the values of x for which f(x)=[x(x-2)]^2 is an increasing unc...

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  11. Find the particular solution of the differential equation x(x^2-a)...

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  12. Form the differential equation of the family of circles in the seco...

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  13. A dealer wishes to purchase a number of fans and sewing machines. He h...

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  14. Find the area of the region included between the parabola y^2=x and...

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  15. Evaluate: int0^pi(x dx)/(a^2cos^2\ \ x+b^2sin^2\ \ x)

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  16. Coloured bills are distributed in three bags as shown in the follow...

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  17. Find the shortest distance between the following two lines: vec r=...

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  18. The scalar product of the vector hat i+\ hat j+\ hat k\ with the ...

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  19. Find the equation of the plane determined by the points (A(3,-1,\ 2...

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  20. Evaluate: int0^pi(xtanx)/(secx+tanx)\ dxdot

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