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If f(x)=e^(x)(x-2)^(2) then...

If `f(x)=e^(x)(x-2)^(2)` then

A

f is increasing in `(-oo, 0)` and `(2, oo)` and decreasing in (0, 2)

B

f is increasing in `(-oo, 0)` and decreasing in `(0, oo)`

C

f is increasing in `(2, oo)` and decreasing in `(-oo,0)`

D

f is increasing in (0, 2) and decreasing in `(-oo, 0)` and `(2, oo)`

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WB JEE PREVIOUS YEAR PAPER-QUESTION PAPER 2013-MULTIPLE CHOICE QUESTIONS
  1. Let f(x)={{:(x^(3)-3x+2", "xlt2),(x^(3)-6x^(2)+9x+2", " x ...

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  2. The limit of sum(n=1)^(1000)(-1)^(e )x^(e ) as x to oo

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  3. If f(x)=e^(x)(x-2)^(2) then

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  4. Let f:R to R be such that f is injective and f(x)f(y)=f(x+y) for all x...

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  5. The number of solutions of the equation (1)/(2)log(sqrt(3))((x+1)/(x+5...

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  6. The area of the region bounded by the parabola y=x^(2)-4x+5 and the st...

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

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  8. Let P=1+(1)/(2xx2)+(1)/(3xx2^(2))+ …………. and Q=(1)/(1xx2)+(1)/(3xx4...

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  9. Let f(x)=sin x + 2 cos^(2)x, (pi)/(4)le x le (3pi)/(4). Then f attains...

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  10. Each of a and b can take value 1 or 2 with probability. The probabilit...

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  11. There are two coins, one unbiased with probability (1)/(2) of getting ...

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  12. For the variable t, the locus of the points of intersection of lines 3...

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  13. Cards are drawn one - by - one without replacement from a well shuffle...

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  14. Lines x+y=1 and 3y=x+3 intersect the ellipse x^(2)+9y^(2)=9 at the poi...

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  15. The number of onto functions from the set {1, 2, ……….,11} to the set {...

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  16. The limit of [(1)/(x^(2))+((2013)^(x))/(e^(x)-1)-(1)/(e^(x)-1)] as x t...

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  17. Let z(1)=2+3i and z(2)=3+4i be two points on the complex plane. Then t...

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  18. Let p (x) be a quardractic polynomial constant term 1. Suppose p (x) w...

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  19. Eleven apples are distributed among a girl and a boy. Then which one o...

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  20. Five numbers are in H.P. The middle term is 1 and the ratio of the sec...

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