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Using elementary transformations, find the inverse of the matrix `A = [[ 8, 4, 3 ], [ 2, 1, 1 ], [ 1, 2, 2 ]]` and use it to solve the following system of linear equations : `8x+4y+3z=19` `2x+y+z=5` `x+2y+2z=7`

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XII BOARD PREVIOUS YEAR PAPER ENGLISH-BOARD PAPER SOLUTIONS-All Questions
  1. A and B throw a pair of dice alternately. A wins the game if he gets a...

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  2. Prove that |[yz-x^2,zx-y^2,xy-z^2],[zx-y^2,xy-z^2,yz-x^2],[xy-z^2,yz-x...

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  3. Using elementary transformations, find the inverse of the matrix A = [...

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  4. Three persons A, B and C apply for a job of Manager in a Private Compa...

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  5. Solve for : 2\ tan^(-1)(cosx)=tan^(-1)(2\ cos e c\ x) .

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  6. int(-1)^2|x^3-x|dxdot

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  7. Find the particular solution of the differential equation (1-y^2)(1+lo...

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  8. Find the general solution of the differential equation (1+y^(2))+(x-e^...

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  9. Show that the vectors vec a , vec b and vec c are coplanar if vec a+...

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  10. Find the vector and Cartesian equations of the line through the point ...

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  11. The monthly incomes of Aryan and Babban are in the ratio 3 : 4 and the...

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  12. The two vectors hat j+ hat k and 3 hat i- hat j+4 hat k represent the...

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  13. Prove that: tan^(-1)1/5+tan^(-1)1/7+tan^(-1)1/3+tan^(-1)1/8=pi/4

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  14. Find : int((3sintheta-2)costheta)/(5-cos^2theta-4sintheta)dthetathet...

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  15. Evaluate : int0^pie^(2x)dotsin(pi/4+x)dx

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  16. If x=sint and y=sinp t , prove that (1-x^2)(d^2y)/(dx^2)-x(dy)/(dx)+p^...

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  17. Differentiate tan^(-1)((sqrt(1+x^2)-1)/x) with respect to sin^(-1)...

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  18. If A=(cosalpha-sinalpha0sinalphacosalpha0 0 0 1), find a d jdotA and v...

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  19. If a ,b and c are all non-zero and |[1+a,1, 1],[ 1,1+b,1],[1,1,1+c]|=0...

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  20. Find the values of a and b , if the function f defined by f(x)={x^2...

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