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Using properties of determinants, solve the following for x: `|[x-2, 2x-3, 3x-4],[x-4, 2x-9, 3x-16],[ x-8, 2x-27, 3x-64]|=0`

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XII BOARD PREVIOUS YEAR PAPER ENGLISH-BOARD PAPER SOLUTIONS-All Questions
  1. Write the vector equation of the line given by (x-5)/3=(y+4)/7=(z-6...

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  2. Prove that: tan^(-1)[(sqrt(1+x)-sqrt(1-x))/(sqrt(1+x)+sqrt(1-x))]=pi/4...

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  3. Using properties of determinants, solve the following for x: |[x-2, ...

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  4. If x=tan(1/alogy)\ , show that (1+x^2)(d^2\ y)/(dx^2)+(2x-a)(dy)/(dx)=...

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  5. Evaluate: int0^(pi/2)(x+sinx)/(1+cosx)dx

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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