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XII BOARD PREVIOUS YEAR PAPER ENGLISH-BOARD PAPER SOLUTIONS-All Questions
- Using elementary transformations, find the inverse of the matrix [[1...
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- Solve the following differential equation: [(e^(-2\ sqrt(x)))/(sqrt(x)...
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- Solve the following differential equation: 3e^xtany\ dx+(2-e^x)sec^2y\...
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- Using properties of determinants, prove that |[a, a+b, a+b+c],[2a,3...
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- Write the direction cosines of a line parallel to z-axis.
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- If f(x)=(4x+3)/(6x-4),\ x\ !=2/3, show that fof(x)=x for all x!=2/3dot...
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- Evaluate: int(cos2x-cos2alpha)/(cosx-cosalpha)\ dxdot
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- Evaluate : int(1-x^2)/(x(1-2x))\ dxdot
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- Evaluate: inte^x\ ((sin4x-4)/(1-cos4x))\ dx
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- Evaluate: int(x+2)/(sqrt(x^2+2x+3))dx
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- 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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