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Select the correct statement from (A), (B), (C ), (D). The function `f(x)=xe^(1-x)`

A

strictly increases in the interval `((1)/(2),2)`

B

increases in the interval `(0,oo)`

C

decreases in the interval (0, 2)

D

strictly decreases in the interval `(1,oo)`

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WB JEE PREVIOUS YEAR PAPER-QUESTION PAPER 2008-MULTIPLE CHOICE QUESTIONS
  1. The function f(x) which satisfies f(x)=f(-x)=(f'(x))/(x) is given by

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  2. A function f(x) is defined as follows for real x f(x)={{:(1-x^(2),", f...

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  3. Select the correct statement from (A), (B), (C ), (D). The function f(...

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  4. The equation e^(x)+x-1=0 has, apart from x = 0

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  5. The function f(x)=e^(ax)+e^(-ax),agt0 is monotonically increasing for

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  6. Find the following: int 1/(x(x^7+1))dx

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  7. If ""^(16)C(r)=""^(16)C(r+1) then the value of ""^(r)P(r-3) is

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  8. The coefficient of x^(-10) in (x^(2)-(1)/(x^(3)))^(10) is

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  9. If the matrix [(a,b),(c,d)] is commutative with the matrix [(1,1),(0,1...

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  10. If 1,omega,omega^(2) are cube roots of unity, then |(1,omega^(n),omega...

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  11. Let A={1,2,3} and B={2,3,4}, then which of the following relations is ...

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  12. One possible condition for the three points (a,b),(b,a) and (a^(2),-b^...

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  13. If the m^(th) term and the n^(th) term of an A.P. are respectively (1)...

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  14. Find the following: int1^4abs[x-2]dx

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  15. Find int0^(pi/2) logtanxdx

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  16. Find int 1/sqrt(2x-x^2)dx

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  17. If h(x)=(x^(3)-a^(3))/(x-a), then find h(a).

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  18. The value of (1-omega+omega^(2))^(5)+(1+omega-omega^(2))^(5), where om...

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  19. The degree of the differential equation [1+((dy)/(dx))^(2)]^(5//3)=(d^...

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  20. The differential equation of all parabolas whose axes are parallel to ...

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