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Show that the semi-vertical angle of the...

Show that the semi-vertical angle of the cone of the maximum volume and of given slant height is `cos^(-1)1/(sqrt(3))`

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XII BOARD PREVIOUS YEAR PAPER ENGLISH-BOARD PAPER SOLUTIONS-All Questions
  1. Find the equations of the tangent and normal to the curve x=asin^3t...

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  2. underset(pi/12)overset(pi/2)int(dx)/(1+sqrt(cotx))

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  3. Show that the semi-vertical angle of the cone of the maximum volume an...

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  4. cot^(-1)((sqrt(1+sinx)+sqrt(1-sinx))/(sqrt(1+sinx)-sqrt(1-sinx)))=(x)/...

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  5. सिद्ध कीजिए कि 2 tan^(-1)""(1)/(5)+sec^(-1)""(5sqrt(2))/(7)+2tan^...

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  6. Prove that, for any three vectors vec a , vec b , vec c [ vec a+ v...

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  7. Vector vec a , vec b and vec c are such that vec a+ vec b+ vec c...

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  8. The sum of the perimeters of a circle and a square is k , where k is s...

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  9. Find the direction cosines of the line (x+2)/2=(2y-7)/6=(5-z)/6dot Als...

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  10. Solve for x :2tan^(-1)(cosx)=tan^(-1)(2\ cos e c\ x)

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  11. Using differentials, find the approximate value of (3. 968)^(3/2)

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  12. Write the derivative of sinx w.r.t. cosxdot

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  13. Find : int(sin^8x-cos^8x)/(1-2sin^2xcos^2x)dx

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  14. Write a vector in the direction of the vector hat i-2 hat j+2 hat j+2...

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  15. Write the distance of a point P(a ,b ,c) from x-axis.

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  16. If [x y4z+6x+y]=[8w0 6], write the value of (x+y+z)dot

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  17. Write the principal value of cos^(-1)[cos(680^0)]dot

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  18. Let R be the equivalence relation in the set A={0,\ 1,\ 2,\ 3,\ 4,\ 5}...

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  19. Write a x2x matrix which is both symmetric and skew-symmetric.

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  20. Write the projection of the vector 2 hat i- hat j+ hat k on the vector...

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