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For -(pi)/(2) lt x lt (3pi)/(2) the valu...

For `-(pi)/(2) lt x lt (3pi)/(2)` the value of `(d)/(dx){"tan"^(-1)(cosx)/(1+sinx)}` is equal to

A

`(1)/(2)`

B

`-(1)/(2)`

C

1

D

`(sinx)/((1+sinx)^(2)`

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WB JEE PREVIOUS YEAR PAPER-QUESTION PAPER 2012-MULTIPLE CHOICE QUESTIONS
  1. Let y=((3^(x)-1)/(3^(x)+1)) sinx+log(e)(1+x), x gt -1 then at x=0, (dy...

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  2. Maximum value of the function f(x)=(x)/(8)+(2)/(x) on the interval [1...

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  3. For -(pi)/(2) lt x lt (3pi)/(2) the value of (d)/(dx){"tan"^(-1)(cosx)...

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  4. The value of the integral int(-2)^(2)(1+2 sinx)e^(|x|)dx is equal to

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  5. The maximum value of |z| when the complex number z satisfied the condi...

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  6. If ((3)/(2)+ (sqrt(3))/(2))^(50)=3^(25)(x+iy) where x and y are real, ...

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  7. If (z-1)/(z+1) is purely imaginary, then

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  8. Three are 100 students in a class. In an examination, 50 of them faile...

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  13. Let the coefficients of powers of x in the 2^(nd) and , 3^(rd), and 4^...

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  14. Let f(x)+ax^(2)+bx+c , g x= px^(2)+qx+r, such that f(1)=g(1), f(2), g(...

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  15. The sum 1xx1!xx2!+...+50xx50! equals

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  16. Six numbers are in A.P in A.P such that their sum is 3. the first term...

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  17. The sum of the infinite series 1+(1)/(3)+(1.3)/(3.6)+(1.3.5)/(3.6.9)+(...

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  18. The equation x^(2)+x+a=0 and x^(2)+ax+1=0 have a common real root

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  19. If 64,27, 36 are the p^(th) , Q^(th) and R^(th) terms of a G.P. then P...

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  20. If sin^(-1)x+sin^(-1)y+sin^(-1)z=(3pi)/(2), then the value of x^(9)+y^...

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