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If siny=xsin(a+y),\ \ prove that (dy)/(...

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

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XII BOARD PREVIOUS YEAR PAPER ENGLISH-BOARD PAPER SOLUTIONS-All Questions
  1. Using integration, find the area of the triangle ABC, coordinates o...

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  2. Find the area of circle 4x^2+4y^2=9 which is interior to the parabo...

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

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  4. If (cos"x")^y=(sin y)^x , find (dy)/(dx)

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  5. Solve the following differential equation: ((x^2-1)dy)/(dx)+2x y=1/(x...

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  6. Solve the following differential equation: sqrt(1+x^2+y^2+x^2\ y^2)\ ...

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  7. If y=logtan(pi/4+x/2),\ show that (dy)/(dx)=secx. Also find the val...

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  8. If y=cos^(-1)((2^x+1)/(1+4^x)), find (dy)/(dx)

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  9. Evaluate : int0^pi(xtan\ x)/(sec\ x+tan\ x)\ dx

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  10. From the following matrix equation, find the value of x:[[x+y,4],[-5,...

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  11. Prove the following: tan[pi/4+1/2cos^(-1)(a/b)]+tan[pi/4-1/2cos^(-1)...

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  12. Form the differential equation representing the family of ellipses ...

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  13. Prove the following, using properties of determinants: |[a+b+2c,a,b],[...

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  14. Find the inverse of A=[[3,-1],[-4,1]] using elementary transformations...

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  15. Using properties of determinants, prove the following |(a^2+1,ab,ac),(...

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  16. If y=(t a n^(-1)\ x)^2 , show that (x^2+1)^2(d^2\ y)/(dx^2)+2x(x^2+1)(...

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  17. If veca,vecb, vecc are three vectors such that |veca |= 5, |vecb| =...

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  18. Solve the following differential equation: 2x^2(dy)/(dx)-\ 2x y+y^2=0

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  19. Find the particular solution of the following differential equation...

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  20. Let * be a binary operation of N given by a*b=L C M\ (a , b) for all ...

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