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Show that the altitude of the right circ...

Show that the altitude of the right circular cone of maximum volume that can be inscribed in a sphere of radius `R` is `(4R)/3dot`

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Show that the altitude of a right circular cone of maximum volume that can be inscribed in a sphere of radius r is 4r/3..

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XII BOARDS PREVIOUS YEAR-BOARD PAPER SOLUTIONS-All Questions
  1. Evaluate the following int0^(3/2)|xcospix\ |\ dxdot

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  2. Find the area of the region in the first quadrant enclosed by x-a xi s...

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  3. Show that the altitude of the right circular cone of maximum volume ...

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  4. Solve for x: tan^(-1)3x+tan^(-1)2x=pi/4

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  5. Prove that: sin^(-1)(4/5)+sin^(-1)(5/(13))+sin^(-1)((16)/(65))=pi/2

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  6. If vecalpha=3 hat i+4 hat j+5 hat k and vecbeta=2 hat i+ hat j-\ 4 h...

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  7. Evaluate : int(cosx)/((2+sinx)dx\ (3+4sinx)

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  8. If [[1,2],[3,4]] [[3,1],[2,5]]=[[7,11],[k,23]], then write the value o...

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  9. Find the particular solution of the differential equation. (dy)/(dx...

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  10. Show that f\ : NvecN ,\ given by f(x)={x+1, if\ x\ i s\ od dx-1,\ \ ...

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  11. Evaluate : int(logx)/x\ dxdot

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  12. What is the value of the determinant |(0,2,0),(2,3,4),(4,5,6)|?

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  13. What is the degree of the following differential equation? 5x\ ((d...

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  14. What is the range of the function f(x)=(|x-1|)/((x-1))?

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  15. If A=[[cos alpha,-sin alpha],[sin alpha,cos alpha]], then for what val...

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  16. What is the principal value of sin^(-1)(-(sqrt(3))/2)\ ?

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  17. Find the equation of the plane through the points (2, 1, 1) and (1,...

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  18. Find the shortest distance between the following lines: (x+1)/7=(y+1)...

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  19. A cottage industry manufactures pedestal lamps and wooden shades, e...

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  20. A factory has two machines A and B. Past record shows that machine ...

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