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XII BOARDS PREVIOUS YEAR-XII Boards-All Questions
- Find the value of (x-y) from the matrix equation 2[(x,5),(7,y-3)]+[(-...
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- int cos2x*cos4x*cos6x dx
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- Solve the following differential equation: (y+3x^2)(dx)/(dy)=x
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- Prove that sin^(-1)(4/5)+tan^(-1)(5/12)+cos^(-1)(63/65)=pi/2
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- Find the angle between the line vec r = (2 hat i-hat j +3 hat k)+ lamb...
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- Find the interval in which the function f given by f(x)=sin2x+cos2x, 0...
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- Using vectors, prove that the points (2,-1,3) ,(3,-5,1) and (-1,11,9) ...
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- Obtain the inverse of the following matrix, using elementary operation...
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- Using vectors, find the value of x such that the four points A(x,5,-1)...
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- For any two vectors vec a and vec b , prove that (vec a xx vec b )^2=...
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- Find the co-ordinates of the point, where the line ((x+2)/1)=((y-5)/3)...
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- Using matrices solve the following system of linear equations: {(2x+3y...
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- Find int ((x-1)/ ((x-2)(x-3))) dx
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- Differentiate tan^(-1)((3x-x^3)/(1-3x^2)), |x|<1/sqrt3 w.r.t tan^(-1)(...
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- Evaluate: int(e^x)/(sqrt(5-4e^x-e^(2x))) dx
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- Find the differential equation representing the family of curves y=-Ac...
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- If sqrt(1-x^2) + sqrt(1-y^2) = a(x-y), show dy/dx = sqrt((1-y^2)/(1-x^...
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- Find the area of the region {(x, y) : y^2 <=6ax and x^2+y^2<=16a^2} ...
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- Find the differential of the function cos^(-1) (sin 2x) w.r.tx.
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- Find int e^x((2+sin 2x)/(2 cos^2x)) dx
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