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Find the general solution of the differe...

Find the general solution of the differential equation `(1+y^(2))+(x-e^(tan-1)y)(dy)/(dx)=0`

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XII BOARD PREVIOUS YEAR PAPER ENGLISH-BOARD PAPER SOLUTIONS-All Questions
  1. int(-1)^2|x^3-x|dxdot

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  2. Find the particular solution of the differential equation (1-y^2)(1+lo...

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  3. Find the general solution of the differential equation (1+y^(2))+(x-e^...

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  4. Show that the vectors vec a , vec b and vec c are coplanar if vec a+...

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  5. Find the vector and Cartesian equations of the line through the point ...

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  6. The monthly incomes of Aryan and Babban are in the ratio 3 : 4 and the...

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  7. The two vectors hat j+ hat k and 3 hat i- hat j+4 hat k represent the...

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  8. Prove that: tan^(-1)1/5+tan^(-1)1/7+tan^(-1)1/3+tan^(-1)1/8=pi/4

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  9. Find : int((3sintheta-2)costheta)/(5-cos^2theta-4sintheta)dthetathet...

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  10. Evaluate : int0^pie^(2x)dotsin(pi/4+x)dx

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  11. If x=sint and y=sinp t , prove that (1-x^2)(d^2y)/(dx^2)-x(dy)/(dx)+p^...

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  12. Differentiate tan^(-1)((sqrt(1+x^2)-1)/x) with respect to sin^(-1)...

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  13. If A=(cosalpha-sinalpha0sinalphacosalpha0 0 0 1), find a d jdotA and v...

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  14. If a ,b and c are all non-zero and |[1+a,1, 1],[ 1,1+b,1],[1,1,1+c]|=0...

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  15. Find the values of a and b , if the function f defined by f(x)={x^2...

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  16. A coaching institute of English (subject) conducts classes in two batc...

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  17. If 213(-1 0-1-1 1 0 0 1 1)(1 0-1)=A , then write the order of matrix A...

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  18. If A=(3 5 7 9) is written as A = P + Q, where P is a symmetric matrix ...

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  19. If |[x,si ntheta,costheta],[-si ntheta,-x,1],[costheta,1 ,x]|=8, writ...

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  20. If | vec a X vec b|^2+| vec adot vec b|^2=400 and | vec a|=5, then wri...

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