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The sum of the perimeters of a circle an...

The sum of the perimeters of a circle and a square is `k` , where `k` is some constant. Prove that the sum of their areas is least when the side of the square is double the radius of the circle.

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XII BOARD PREVIOUS YEAR PAPER ENGLISH-BOARD PAPER SOLUTIONS-All Questions
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  2. Vector vec a , vec b and vec c are such that vec a+ vec b+ vec c...

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

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

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

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

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

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

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

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

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

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

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

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

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

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  16. int(x+3)/(sqrt(5-4x-x^2))dx

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  17. int0^(pi/2) x^2sinxdx

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  18. If the three vectors vec a+ vec b , vec b+ vec c and vec c+ vec a ar...

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

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  20. If y(x) is a solution of the differential equation ((2+sinx)/(1+y))...

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