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Solve the following differential equa...

Solve the following differential equation:     (        y+3      x      2           )        dx        dy     =x

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XII BOARD PREVIOUS YEAR PAPER ENGLISH-BOARD PAPER SOLUTIONS-All Questions
  1. Evaluate: int0^(pi/2)(x+sinx)/(1+cosx)dx

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  2. Solve the following differential equation: x\ dy-y\ dx=sqrt(x^2+y^2...

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  3. Solve the following differential equation: <math>  <mrow>   <mro...

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  4. A speaks truth in 60% of the cases, while B in 90% of the cases. In...

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  5. If vec a ,\ vec b ,\ are two vectors such that | vec a+ vec b|=| ve...

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  6. In answering a question on a multiple choice test, a student either...

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  7. An urn contains 4 white and 3 red balls. Let X be the number of red ba...

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  8. If y=(sin^(-1)\ x)/(sqrt(1-x^2)) , show that (1-x^2) (d^2\ y)/(dx^2)-...

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  9. Using properties of determinants, prove the following: |[1,1+p,1+p+q],...

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  10. On a multiple choice examination with three possible answers (out o...

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  11. If vec p is a unit vector and ( vec x-\ vec p).( vec x+\ vec p)...

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  12. Let f: NvecN be defined by f(n)={(n+1)/2,\ "if"\ n\ "i s\ o d d"n/2...

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  13. Solve the following differential equation: cos^2x(dy)/(dx)+\ y=tanx

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  14. Solve the following differential equation: x(dy)/(dx)=y-xtan(y/x)

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  15. Find the distance of the point P(6,5,9) from the plane determined b...

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  16. If matrix A=[[1,-1],[-1 ,1]] and A^2=k A , then write the value of k

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  17. Find the points on the line (x+2)/3=(y+1)/2=(z-3)/2\ at a distance ...

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  18. Evaluate: int(x^4\ dx)/((x-1)(x^2+1))

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  19. If y=cos^(-1)((3x+4\ sqrt(1-x^2))/5), find(dy)/(dx)

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  20. Evaluate the following: int1^2(5x^2)/(x^2+4x+3)\ dx

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