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XII BOARDS PREVIOUS YEAR-BOARD PAPER SOLUTIONS-All Questions
- 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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- Find the points on the curve y=x^3 at which the slope of the tangen...
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- Find the intervals in which the function f given by f(x)=sinx+cosx ,\...
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- A factory makes tennis rackets and cricket bats. A tennis racket ta...
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- Suppose 5% of men and 0.25% of women have grey hair. A grey haired ...
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- 2 tan^(-1) (cos x) = tan^(-1) (2 cosec x)
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- Prove the following: cot^(-1)((sqrt(1+sinx)\ \ +\ \ sqrt(1-sinx))/(sqr...
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- Write the value of the following determinant: |[102, 18, 36],[ 1, 3,...
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- If x[[2],[ 3]]+y[[-1],[ 1]]=[[10],[ 5]], write the value of xdot
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- If int0^a3x^2dx=8,\ write the value of ' a^(prime)dot
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