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Using elementary row operations, find the inverse of the following matrix: `[[2,5],[1, 3]]`

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XII BOARD PREVIOUS YEAR PAPER ENGLISH-BOARD PAPER SOLUTIONS-All Questions
  1. On a multiple choice examination with three possible answers (out o...

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  2. If A=(a(i j))= [[2, 3,-5],[1, 4, 9],[ 0, 7,-2]] and B=(b(i j))=[[2, 1,...

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  3. Using elementary row operations, find the inverse of the following m...

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  4. Let Z be the set of all integers and R be the relation on Z defined as...

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  5. Evaluate : int(pi//6)^(pi//3)(sinx+cosx)/(sqrt(sin2x))\ dxdot

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  6. If siny=xsin(a+y), prove that (dy)/(dx)=(sin^2(a+y))/(sina)

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  7. If (cosx)^y=(cosy)^x , find (dy)/(dx)

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  8. Evaluate: intx^2log(1+x)dx\

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  9. Differentiate tan^(-1)[(sqrt(1+x^2)-1)/x] with respect to x

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  10. Prove that the volume of the largest cone, that can be inscribed in...

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  11. Show that the normal at any point theta to the curve x=acostheta+at...

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  12. Evaluate : int0^2sqrt(4-x^2)\ dx

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  13. Given inte^x\ (tanx+1)secx\ dx=e^xf(x)+c, write f(x) satisfying the a...

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  14. If A^T=[3 4-1 2 0 1]\ and B=[-1 2 1 1 2 3], then find A^T-\ B^T

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  15. Let A be a square matrix of order 3\ xx\ 3 . Write the value of |2A|...

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  16. Find the principal value of tan^(-1)sqrt(3)-sec^(-1)(-2)

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  17. Find the value of x+y from the following equation: 2[(x,5),(7y,-3)]+[(...

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  18. Prove The following: "cos"(sin^(-1)\ 3/5+cot^(-1)\ 3/2)=6/(5\ sqrt(13)...

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  19. The magnitude of the vector product of the vector hat i+ hat j+ hat k...

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  20. Evaluate: int0^pi(xtanx)/(secx+tanx)\ dx

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