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XII BOARD PREVIOUS YEAR PAPER ENGLISH-BOARD PAPER SOLUTIONS-All Questions
- Prove the following: tan^(-1)\ 1/3+tan^(-1)\ 1/5+tan^(-1)\ \ 1/7+tan...
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- For what value lambda are the vectors vec a=2 hat i+\ lambda hat j...
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- Evaluate: int0^pi(xsinx)/(1+cos^2x)\ dx
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- Find the equation of tangent to the curve x=sin3t , y=cos2t\ \ at t=p...
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- Differentiate the following with respect to x\ :tan^(-1)\ ((sqrt(1+x)\...
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- For what value of k is the following function continuous at x=2? f(...
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- If vec a+ vec b+ vec c=0 and | vec a|=3,\ | vec b|=5 and | vec c|=7 ...
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- If vec a= hat i+ hat j+ hat k\ a n d vec b= hat j- hat k , find a ...
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- Solve the following differential equation: (x^2-y^2)dx+2x y\ dy=0 gi...
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- Solve the following differential equation: (dy)/(dx)=(x\ (2y-x))/(x\ (...
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- Show that the height of the cylinder of maximum volume that can be ...
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- Show that of all the rectangles inscribed in a given fixed circle, ...
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- Find a unit vector in the direction of vec a=3 hat i-2 hat j+6 hat...
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- Find the angle between the vectors vec a= hat i- hat j+\ hat k\ a...
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- If A=[(1, 2, 2),( 2, 1, 2), (2, 2, 1)], verify that A^2-4A-5I=0
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- A pair of dice is thrown 4 times. If getting a doublet is considered a...
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- Using properties of determinants, prove the following: \begin{vmatr...
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- If "f"("x")=x+7 and g(x)=x-7,\ x\ \in R , find (fog)(7).
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- Find the value of sin[pi/3 - sin^(-1) (- 1/2)]
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- Find the value of x\ and y\ if "2" [(1,3) ,(0,x)]+ "[(y ,0 ),(1 ,2)]...
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