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XII BOARDS PREVIOUS YEAR-XII Boards-All Questions
- If tan^(-1)(Y/X) = log (sqrt(X^2+Y^2)) , prove that (dy/dx) = ((X+Y)/(...
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- Find the shortest distance between the lines vecr = 2hati - hatj + hat...
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- Find: int((tan^(3)x)/(cos^(3)x)) dx
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- Solve the following differential equation: (1+ e ^(y/x)) dy + e^(y...
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- Find f'(x) if f(x) = tan x^(tan x)
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- If y=e^acos^((-1)x),-1lt=x<1,s howt h a t (1-x^2)(d^2y)/(dx^2)-x(dy)/...
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- If f(x) = sqrt ((sec x -1)/(sec x + 1)) , find f'( pi /3)
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- The area of the triangle formed by the vertices O, A, and B, where vec...
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- If A = [(5, -1, 4), (2, 3, 5), (5, -2, 6)] , find A^(-1) and use it t...
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- The vectors 3hati - hatj +2hatk, 2hati+hatj+3hatk and hati+lambdahatj-...
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- A cottage industry manufactures pedestal lamps and wooden shades.Both ...
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- If x, y, z are different and Delta=|[x, x^2, 1+x^3],[y, y^2, 1+y^3],[...
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- Find the area of the triangle formed by O ,A ,B when vec O A= hat ...
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- Prove that tan^-1(1/4)+ tan^-1(2/9) = 1/2sin^-1(4/5)
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- check whether the relation R in the set N of natural numbers given by ...
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- The function f(x) : (x-1)/(x( x^(2) -1)) is discontinuous at (a) exa...
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- The Integrating Factor of the differential equation x(dy)/(dx)-y=2x^2...
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- If I vec(a)I = 4 and -3 le lamda le 2,then Ilambda vec(a)I lies in ...
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- Find the equation of the plane passing through the points (1,0,-2),(3,...
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- Differentiate sec^2 (x^2) with respect to x^2
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