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

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

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XII BOARD PREVIOUS YEAR PAPER ENGLISH-BOARD PAPER SOLUTIONS-All Questions
  1. Evaluate : int(pi//6)^(pi//3)(sinx+cosx)/(sqrt(sin2x))\ dxdot

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  17. Write the value ( hat ixx hat j)dot hat k+ hat idot hat jdot

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  18. Find the scalar components of the vector vec A B with initial point A...

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  19. सिद्ध कीजिए कि - int(0)^(pi//2)(sin^(2)x)/(sinx+cosx)dx=(1)/(sqrt2)l...

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  20. Evaluate: int(x^3)/(x^4+3x^2+2)dx

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