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XII BOARDS PREVIOUS YEAR-XII Boards-All Questions
- Find the matrix X so that X[[1, 2, 3],[ 4 ,5, 6]]= [[-7,-8,-9],[2,4,6]...
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- If y=e^"tan"^((-1)"x"), prove that (1+x^2)y2+(2x-1)y1=0.
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- Find int2x sin (3x + 1) dx
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- Find the image of the point having position vector hat i+3 hat j+4 ha...
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- Given A=((2,-3),(-4,7)) compute A^(-1) and show that 2A^(-1)=9I-A
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- Differentiate tan^(-1)((1+cosx)/sinx) with respect to x
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- Find the value of tan^(-1) sqrt3 - cot^(-1) (-sqrt3)
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- The total cost C(x) in Rupees, associated with the production of x ...
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- Integrate the functions (cos2x+2sin^2x)/(cos^2x)
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- Find the differential equation representing the family of curves y=ae^...
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- If the matrix A = [[0,a,-3],[2,0,-1],[b,1,0]] is skew symmetric, find ...
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- If theta is the angle between two vectors hati-2hatj+3hatk and 3hati-2...
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- Find the magnitude of each of the two vectors veca and vec b having th...
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- A black and a red dice are rolled. (a) Find the conditional proba...
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- Using properties of determinants prove that |(1,1, 1+3x),(1+3y,1,1),(1...
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- Find (dy)/dx, if (x^2+y^2)^2=xy
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- If a * b, denoted the larger of 'a' and 'b' and if a o b = a*b + 3 , ...
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- If x=a(2theta-sin2theta) and y=a(1-cos2theta) find (dy)/(dx) when thet...
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- If y="sin"(sinx),"p r o v et h a t" (d^2y)/(dx^2)+tanx(dy)/(dx)cos^...
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- Prove that: 3sin^(-1)x=sin^(-1)(3x-4x^3), x in [-1/2,1/2]
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