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Evaluate: int0^(pi/4)(sinx+cosx)/(9+16si...

Evaluate: `int_0^(pi/4)(sinx+cosx)/(9+16sin2x)dx`

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XII BOARDS PREVIOUS YEAR-BOARD PAPER SOLUTIONS-All Questions
  1. If Delta=|[5, 3 ,8],[ 2, 0 ,1],[ 1 ,2 ,3]| , write the minor of the el...

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  2. Evaluate : int(1-x)sqrt(x)\ dxdot

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  3. Evaluate: int0^(pi/4)(sinx+cosx)/(9+16sin2x)dx

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  4. Find lambda where projection of vec (a) = lambda hat (i) + hat (j) ...

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  5. If a line has direction ratios 2, –1, –2, then what are its directi...

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  6. Write the vector equation of the line given by (x-5)/3=(y+4)/7=(z-6...

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

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

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

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

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

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

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  13. A speaks truth in 60% and Bin 80% of the cases. In what percentage of ...

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  14. If vec a and vec b are two vectors such that | vec a+ vec b|=| vec a...

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

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

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  17. If y=(s in^(-1)\ x)/(sqrt(1-x^2)) , show that (1-x^2) (d^2\ y)/(dx^2)...

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

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

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

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