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If A=[[2, 3],[ 5,-2]], write A^(-1) in t...

If `A=[[2, 3],[ 5,-2]],` write `A^(-1)` in terms of `A`

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XII BOARDS PREVIOUS YEAR-BOARD PAPER SOLUTIONS-All Questions
  1. Evaluate: int(a x+b)^3dx

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  2. If a matrix has 5 elements, write all possible orders it can have.

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  3. If A=[[2, 3],[ 5,-2]], write A^(-1) in terms of A

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  4. Using properties of determinants, prove the following: |[1,x,x^2],[...

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  5. Write the projection of the vector hat i- hat j on the vector ha...

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  6. Write the direction-cosines of the line joining the points (1, 0, 0...

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  7. Differentiate the following function with respect to x : (log\ x)^...

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  8. 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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  9. Evaluate: int0^(pi/4)(cos^2x)/(cos^2x+4sin^2x)dx\

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  10. Evaluate: int1^3(x^2+x)dx

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  11. Show that of all the rectangles inscribed in a given fixed circle, ...

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  12. Using integration find the area of the triangular region whose side...

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  13. Show that the function f in A=|R-{2/3}\ defined as f(x)=(4x+3)/(6x-4)...

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  14. Find the equation of the plane which contains the line of intersect...

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  15. Find a unit vector perpendicular to each of the vector vec a+ vec ...

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  16. Find the angle between the following pair of lines: (-x+2)/(-2)=(y-...

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  17. Probabilities of solving a specific problem independently by A and ...

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  18. If x=a^s in^((-1))\ t ,\ y=a^cos^((-1))t ,\ show that (dy)/(dx)=-y/x

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  19. Find the points on the curve y=x^3 at which the slope of the tangen...

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  20. Find the intervals in which the function f given by f(x)=sinx+cosx ,\...

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