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Let f: R rarr R be defined as f(x)=10 x...

Let `f: R rarr R` be defined as `f(x)=10 x+7.` Find the function `g: R rarr R` such that `gof=fog=I_Rdot`

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XII BOARD PREVIOUS YEAR PAPER ENGLISH-BOARD PAPER SOLUTIONS-All Questions
  1. Evaluate: intsinxdot\ sin2x\ dotsin3x\ \ dxdot

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  2. A binary operation * on the set {0,1,2,3,4,5} is defined as: a*b={a...

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  3. Let f: R rarr R be defined as f(x)=10 x+7. Find the function g: R ra...

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  4. Solve the equation tan^(-1)((1-x)/(1+x))=1/2tan^(-1)x ,(x >0)

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  5. Prove the following: (9pi)/8-9/4sin^(-1)(1/3)=9/4sin^(-1)((2\ sqrt(2)...

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  6. Evaluate: int(x^2)/((x^2+4)\ (x^2+9))dx

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  7. If tan^(-1)((x-1)/(x-2))+tan^(-1)((x+1)/(x+2))=pi/4, then find the val...

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  8. If y=cot^(-1)(sqrt(cos"x"))-tan^(-1)(sqrt(cos"x")), prove that siny=ta...

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  9. Find the image of the point having position vector hat i+2 hat j+4 ha...

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  10. Find the equation of a plane which is at a distance of 3\ sqrt(3) unit...

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  11. Evaluate : int xsin^(-1)\ x\ \ dx

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

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

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  14. The amount of pollution content added in air in a city due to x diesel...

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  15. An open box with a square base is to be made out of a given quantity...

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  16. Solve the following differential equation: (dy)/(dx)+ycotx=4x\ cos e c...

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  17. Find the particular solution of the differential equation: (1+e^(2x))d...

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  18. Let vec a= hat i+4 hat j+2 hat k ,\ \ vec b=3 hat i-\ 2 hat j+7 hat ...

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  19. If vec a= hat i+ hat j+ hat k ,\ \ vec b=4 hat i-\ 2 hat j+3 hat k a...

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  20. Prove, using properties of determinants: |[y+k, y, y],[ y, y+k, y],[...

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