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XII BOARD PREVIOUS YEAR PAPER ENGLISH-BOARD PAPER SOLUTIONS-All Questions
- Solve the equation tan^(-1)((1-x)/(1+x))=1/2tan^(-1)x ,(x >0)
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- Prove the following: (9pi)/8-9/4sin^(-1)(1/3)=9/4sin^(-1)((2\ sqrt(2)...
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- Evaluate: int(x^2)/((x^2+4)\ (x^2+9))dx
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- If tan^(-1)((x-1)/(x-2))+tan^(-1)((x+1)/(x+2))=pi/4, then find the val...
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- If y=cot^(-1)(sqrt(cos"x"))-tan^(-1)(sqrt(cos"x")), prove that siny=ta...
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- Find the image of the point having position vector hat i+2 hat j+4 ha...
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- Find the equation of a plane which is at a distance of 3\ sqrt(3) unit...
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- Evaluate : int xsin^(-1)\ x\ \ dx
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- Evaluate : int(dx)/(sqrt(5-4x-2x^2))
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- Prove that the radius of the right circular cylinder of greatest cu...
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- The amount of pollution content added in air in a city due to x diesel...
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- An open box with a square base is to be made out of a given quantity...
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- Solve the following differential equation: (dy)/(dx)+ycotx=4x\ cos e c...
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- Find the particular solution of the differential equation: (1+e^(2x))d...
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- 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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- 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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- Prove, using properties of determinants: |[y+k, y, y],[ y, y+k, y],[...
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- Consider f: R^+ rarr [4, oo] given by f(x)=x^2+4. Show that f is inver...
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- What are the direction cosines of a line, which makes equal angles ...
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- Evaluate: int(dx)/(x(x^5+3))
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