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Find the particular solution of the differential equation `e^xtanydx+(2-e^x)sec^2ydy=0`, given that `y=pi/4` when x=0

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XII BOARD PREVIOUS YEAR PAPER ENGLISH-XII Boards-All Questions
  1. An open tank with a square base and vertical sides is to be constructe...

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  2. Find int (2cosx)/((1-sinx)(1+sin^2x)) dx

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  3. Find the particular solution of the differential equation e^xtanydx+(2...

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  4. Find the distance of the point (-1,-5,-10) from the point of interse...

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  5. For the differential equation, find a particular solution satisfying...

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  6. A factory manufactures two types of screws, A and B. Each type of scre...

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  7. Let vec a=4hati+5hatj-hatk, vecb = hati -4hatj+5hatk and vec c=3hati+h...

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  8. Shortest distance between the lines:vecr=(4hati-hatj)+lambda(hati+2hat...

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  9. Suppose a girl throws a die. If she gets 1 or 2 , she tosses a coin th...

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  10. If A=[(2,-3,5),(3,2,-4),(1,1,-2)] find A^(-1). Use it to solve the sys...

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  11. Two numbers are selected at random(without replacement) from the first...

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  12. Using elementary row transformations, find the inverse of the matrix A...

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  13. Show that the relation R on the set A={x in Z :0lt=xlt=12} , given by...

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  14. Show that the function f:R->R defined by f(x)=x/(x^2+1) AA x in R is n...

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  15. If an operation ** on the set of integers Z is defined by a**b=2a^2+b ...

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  16. Find the equation of the plane passing through the point <math> <mr...

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  17. If A is a square matrix of order 2 and |A|=4, then find the value of |...

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  18. Solve the following differential equation: x[dy]/[dx]sin(y/x)+x-ysin...

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  19. Four cards are drawn one by one with replacement from a well-shuffled ...

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  20. int1^5(|x-1|+|x-2|+|x-4|)\ dx

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