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Differentiate tan^(-1)((3x-x^3)/(1-3x^2)...

Differentiate `tan^(-1)((3x-x^3)/(1-3x^2))`, `|x|<1/sqrt3` w.r.t `tan^(-1)(x/sqrt(1-x^2))`

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XII BOARDS PREVIOUS YEAR-XII Boards-All Questions
  1. Using matrices solve the following system of linear equations: {(2x+3y...

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  2. Find int ((x-1)/ ((x-2)(x-3))) dx

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  3. Differentiate tan^(-1)((3x-x^3)/(1-3x^2)), |x|<1/sqrt3 w.r.t tan^(-1)(...

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  4. Evaluate: int(e^x)/(sqrt(5-4e^x-e^(2x))) dx

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  5. Find the differential equation representing the family of curves y=-Ac...

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  6. If sqrt(1-x^2) + sqrt(1-y^2) = a(x-y), show dy/dx = sqrt((1-y^2)/(1-x^...

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  7. Find the area of the region {(x, y) : y^2 <=6ax and x^2+y^2<=16a^2} ...

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  8. Find the differential of the function cos^(-1) (sin 2x) w.r.tx.

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  9. Find int e^x((2+sin 2x)/(2 cos^2x)) dx

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  10. Using integration, find the area of the triangle bounded by the lines:...

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  11. Prove that the relation R in the set A={1,2,3,4,5,6,7} given by R={(a,...

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  12. If A and B are independent events with P(A)=3/7 and P(B)=2/5 then fin...

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  13. show that the function f in A = R - {2/3} defined as f(x) = (4x+3)/(6x...

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  14. A company manufactures two types of novelty souvenirs made of plywo...

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  15. A card from a pack of 52 cards is lost. From the remaining cards of...

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  16. Find the co-ordinates of the foot of perpendicular and its perpendicul...

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  17. Find the vector equation of the line passing through (2,1,-1) and para...

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  18. Prove that the radius of the right circular cylinder of greatest cu...

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  19. Differentiate sec^2 (x^2) with respect to x^2

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  20. Find the general solution of the differential equation e^(y-x) dy/dx ...

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