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If x=e^(t)sint, y=e^(t)cost then (dy)/(d...

If `x=e^(t)sint, y=e^(t)cost` then `(dy)/(dx)` at `t=pi` is

A

`2e^(pi)`

B

`(1)/(2)e^(pi)`

C

`(1)/(2e^(pi))`

D

`(2)/(e^(pi))`

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WB JEE PREVIOUS YEAR PAPER-QUESTION PAPER 2008-MULTIPLE CHOICE QUESTIONS
  1. The solution of the differential equation (dy)/(dx)=e^(y+x)+e^(y-x) is

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  2. The value of the integral int(0)^(2)|x^(2)-1|dx is

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  3. If x=e^(t)sint, y=e^(t)cost then (dy)/(dx) at t=pi is

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  4. The value of (dy)/(dx) at x=(pi)/(2), where y is given by y=x^(sinx)+s...

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  5. The value of int(0)^(pi)|cosx|dx is

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  6. The value of int(-3)^(3)(ax^(5)+bx^(3)+cx+k)dx, where a, b, c, k are c...

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  7. The value of the integral int(-a)^(a)(xe^(x^(2)))/(1+x^(2))dx is

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  8. The value of the limit lim(nrarroo)((1)/(n+1)+(1)/(n+2)+.......+(1)/(6...

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  9. The order and degree of the following differential equation [1+((dy)/(...

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  10. The differential equation of the family of circles passing through the...

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  11. The differential equation of the family of curves y=e^(2x)(acosx+bsinx...

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  12. Lt(xrarr(pi)/(2))(a^cotx -a^cosx)/(cotx-cosx),agt0

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  13. Rolle's theorem is not applicable to the function f(x)=|x| for -2lexle...

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  14. The equation of the circle which passes through the points of intersec...

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  15. If 2y=x and 3y+4x=0 are the equations of a pair of conjugate diameters...

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  16. The area enclosed between the curve y=1+x^(2), the y-axis, and the str...

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  17. If t is a parameter, then x=a(t+(1)/(t)),y=b(t-(1)/(t)) represents

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  18. The line which is parallel to x-axis and crosses the curve y=sqrt(x) a...

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  19. The distance between the lines 5x-12y+65=0 and 5x-12y-39=0 is

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  20. The co-ordinates of the foot of perpendicular from (a, 0) on the line ...

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