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XII BOARDS PREVIOUS YEAR-BOARD PAPER SOLUTIONS-All Questions
- Differentiate x^(xcosx)+(x^2+1)/(x^2-1)\ wdotrdottdotx
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- If x=a\ (theta-sintheta),\ y=a\ (1+costheta),\ \ \ find (d^2\ y)/(dx^...
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- If the radius of a sphere is measured as 9 cm with an error of 0.03...
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- Prove that y=(4sintheta)/((2+costheta))-theta is an increasing func...
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- Evaluate: int(sinx+cosx)/(9+16sin2x)\ dx
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- Show that the total surface area of a closed cuboid with square bas...
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- Show that the height of the cylinder of maximum volume that can be ...
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- If y=log\ [x+sqrt(x^2+1)] , prove that (x^2+1)(d^2\ y)/(dx^2)+x(dy)/(d...
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- Prove that: d/(dx)[x/2\ sqrt(a^2-x^2)+(a^2)/2sin^(-1)(x/a)]=sqrt(a^2-...
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- Find the vector equation of the plane which contains the line of in...
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- Find the coordinates of the point, where the line (x-2)/3=(y+1)/4=(z-2...
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- Show that the function f(x)=2x-|x| is continuous but not differenti...
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- Differentiate tan^(-1)((sqrt(1+x^2-1))/x) with respect to tan^(-1)x...
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- Let A = R × R and * be the binary operation on A defined by (a, b) ...
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- Consider f: R rarr [-5,oo) given by f(x)=9x^2+6x-5 . Show that f is...
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- Evaluate: int(pi/6)^(pi/3)(dx)/(1+sqrt(tanx))
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- Find the vector equation of the line passing through the point (1,2...
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- Find the area of the region bounded by the parabola y=x^2 and y=|x| .
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- Find the particular solution of the differential equation(tan^(-1)y-x)...
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- Using elementary transformations, find the inverse of the matrix : [...
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