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Using integration, find the area of t...

Using integration, find the area of the following region : `{(x , y);\ |x+2|lt=ylt=sqrt(20-x^2)}`

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XII BOARDS PREVIOUS YEAR-BOARD PAPER SOLUTIONS-All Questions
  1. If log (x^2+y^2)=t a n^(-1)\ (y/x), then show that (dy)/(dx)=(x+y)/(x-...

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  2. Prove that tan^-1((cosx)/(1+sinx))=pi/4-x/2,\ x in (-pi/2,pi/2)

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  3. Using integration, find the area of the following region : {(x , y...

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  4. Using integration, find the area of the region bounded by the lines...

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  5. If C=0.003x^3+0.02x^2+6x+250 gives the amount of carbon pollution in a...

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  6. Prove that sin^(-1)(8/(17))+sin^(-1)(3/5)=cos^(-1)((36)/(85))

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  7. Evaluate: int0^(pi//2)(2logsinx-logsin2x)dx

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  8. Find the point on the curve y=x^3-11 x+5 at which the equation of tang...

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  9. Using differentials, find the approximate value of sqrt(49. 5)

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  10. Using properties of determinants, prove the following: |a^2a b a c a ...

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  11. The probabilities of two students A and B coming to the school in t...

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  12. Show that the lines vec r=3 hat i+2 hat j-4 hat k+lambda( hat i+2 ha...

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

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  14. Find the general solution of the differential equation xlogx\ dot(...

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  15. If x=acos^3theta and y=asin^3theta, then find the value of (d^2y)/(...

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  16. If y="sin"(logx), then prove that (x^2d^2y)/(dx^2)+x(dy)/(dx)+y=0

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  17. Find the value of k , for which f(x)={{(sqrt(1+k x)-\ sqrt(1-k x))/(x...

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  18. Two cards are drawn simultaneously (or successively without replace...

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  19. One kind of cake requires 200 g of flour and 25 g of fat, and anoth...

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  20. If vec a ,\ vec b ,\ vec c are three vectors such that vec ado...

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