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XII BOARDS PREVIOUS YEAR-XII Boards-All Questions
- If A = [(5, -1, 4), (2, 3, 5), (5, -2, 6)] , find A^(-1) and use it t...
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- The distance between parallel planes 2x+y-2z-6=0 and 4x+2y-4z=0 isunit...
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- Find the principal value of: cos^(-1)(-1/2)
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- Show that the plane X-5Y-2Z =1 contains the line (X-5)/3 = Y = 2- Z
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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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- If | (2x, -9), (-2, x) | = |(-4,8) , (1, -2)|, then value of x is
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- If A is a non- singular square matrix of the order 3 such that A^2=3A ...
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- If P(1,0,-3) is the foot of the perpendicular from the origin to the p...
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- If A = [ (-3 , 2) , (1, -1)] and I = [(1,0) , (0, 1)], find the scalar...
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- Evaluate: int0^(pi/2) (sin2x tan^(-1)(sinx))dx
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- Solve the following differential equation: (1+ e ^(y/x)) dy + e^(y...
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- If f(x) = sqrt ((sec x -1)/(sec x + 1)) , find f'( pi /3)
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- A cottage industry manufactures pedestal lamps and wooden shades.Both ...
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- Amongst all open (from the top) right circular cylindrical boxes of vo...
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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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- If y=e^acos^((-1)x),-1lt=xlt=1,show that (1-x^2)(d^2y)/(dx^2)-x(dy)/(d...
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- Find f'(x) if f(x) = tan x^(tan x)
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- Amongst all open (from the top) right circular cylindrical boxes of vo...
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- the domain of the function f(x) = sin^(-1) (2x) is (a) [0,1] (b) ...
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