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XII BOARDS PREVIOUS YEAR-BOARD PAPER SOLUTIONS-All Questions
- Evaluate: int0^4(|x|+|x-2|+|x-4|)\ dx
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- Evaluate: int(dx)/(sqrt(1-x^2))
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- Evaluate: int(a x+b)^3dx
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- If a matrix has 5 elements, write all possible orders it can have.
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- If A=[[2, 3],[ 5,-2]], write A^(-1) in terms of A
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- Using properties of determinants, prove the following: |[1,x,x^2],[...
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- Write the projection of the vector hat i- hat j on the vector ha...
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- Write the direction-cosines of the line joining the points (1, 0, 0...
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- Differentiate the following function with respect to x : (log\ x)^...
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- If y=log[x+sqrt(x^2+a^2)\ ] , show that ((x^2+a^2)(d^2\ y)/(dx^2)+x(dy...
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- Evaluate: int0^(pi/4)(cos^2x)/(cos^2x+4sin^2x)dx\
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- Evaluate: int1^3(x^2+x)dx
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- Show that of all the rectangles inscribed in a given fixed circle, ...
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- Using integration find the area of the triangular region whose side...
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- Show that the function f in A=|R-{2/3}\ defined as f(x)=(4x+3)/(6x-4)...
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- Find the equation of the plane which contains the line of intersect...
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- Find a unit vector perpendicular to each of the vector vec a+ vec ...
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- Find the angle between the following pair of lines: (-x+2)/(-2)=(y-...
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- Probabilities of solving a specific problem independently by A and ...
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- If x=a^s in^((-1))\ t ,\ y=a^cos^((-1))t ,\ show that (dy)/(dx)=-y/x
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