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XII BOARD PREVIOUS YEAR PAPER ENGLISH-BOARD PAPER SOLUTIONS-All Questions
- If x=a(cos t+tsint) and y=a(sint-tcost), then find (d^2y)/(dx^2)
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- Write the value of the area of the parallelogram determined by the v...
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- Write the value of ( hat ixx hat j). hat k+( hat jxx hat k).\ hati
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- If log (x^2+y^2)=2t a n^(-1)\ (y/x), then show that (dy)/(dx)=(x+y)/(x...
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- Prove that tan^-1((cosx)/(1+sinx))=pi/4-x/2,\ x in (-pi/2,pi/2)
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- Using integration, find the area of the following region : {(x , y...
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- If C=0.003x^3+0.02x^2+6x+250 gives the amount of carbon pollution in a...
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- Prove that s in^(-1)(8/(17))+sin^(-1)(3/5)=cos^(-1)((36)/(85))
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- Evaluate: int0^(pi//2)(2logsinx-logsin2x)dx
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- Find the point on the curve y=x^3-11 x+5 at which the equation of tang...
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- Using differentials, find the approximate value of sqrt(49. 5)
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- Using properties of determinants, prove the following: |[a^2 + 1,ab, ...
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- Show that the lines vec r=3 hat i+2 hat j-4 hat k+lambda( hat i+2 ha...
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- Find the particular solution of the differential equation satisfyin...
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- Find the general solution of the differential equation xlogx\ (dy)/...
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- If x=acos^3theta and y=asin^3theta, then find the value of (d^2y)/(...
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- If y="sin"(logx), then prove that (x^2d^2y)/(dx^2)+x(dy)/(dx)+y=0
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- Find the value of k , for which f(x)={(sqrt(1+k x)-\ sqrt(1-k x))/(x)...
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- Two cards are drawn simultaneously (or successively without replace...
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- One kind of cake requires 200 g of flour and 25 g of fat, and anoth...
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