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XII BOARDS PREVIOUS YEAR-XII Boards-All Questions
- If A = [ (-3 , 2) , (1, -1)] and I = [(1,0) , (0, 1)], find the scalar...
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- Amongst all open (from the top) right circular cylindrical boxes of vo...
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- Find the probability distribution of the random variable x,which denot...
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- If A is a non-singular square matrix of order 3 such that A^2= 3A, the...
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- Find the area, lying above the x=axis and included between the circle ...
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- check whether the relation R in the set N of natural numbers given by ...
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- Given a skew symmetric matrix A = [ (0, a , 1),(-1, b, 1),(-1, c, 0)],...
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- Using the method of integration find the area of the triangle ABC, ...
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- Find the points of intersection of the line vecr = 2hati - hatj + 2ha...
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- Prove that tan^(-1) (1/4) + tan^(-1) (2/9) = 1/2 sin^(-1) (4/5)
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- The vectors 3 hat i- hat j +2 hat k', 2 hat i+hat j + 3 hat k and hat ...
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- Find : int{(x^3 + 1)/(x^3-x)}dx
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- 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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