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XII BOARD PREVIOUS YEAR PAPER ENGLISH-BOARD PAPER SOLUTIONS-All Questions
- 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: 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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- Find the equation of the plane which contains the line of intersecti...
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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^(sin^-1 t) ,\ y=a^(cos^-1t) ,\ show that (dy)/(dx)=-y/x
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- Find the point on the curve y=x^2 where the slope of the tangent is eq...
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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 that: cot^(-1)((sqrt(1+sinx)+sqrt(1-sinx))/(sqrt(1+sinx)-sqrt(1-...
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