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Obsereve the following the lists {:("L...

Obsereve the following the lists
`{:("List-I","List-II"),("A) "f(x)=x^2-2x+5" is increasing in","1) "xgt1/e),("B) "f(x)=x^x" decreases for","2) "(-oo,-1)uu(1,oo)),("C) "f(x)=x+1/x" is increasing in","3) "(1,oo)),("D) "f(x)=9-6x-2x^2-x^3" is decreasing for","4) "(-oo,oo)),("","5) "0ltxlt1/e):}`

A

A-2,B-1,C-5,D-3

B

A-3,B-5,C-4,D-2

C

A-3,B-5,C-2,D-4

D

A-4,B-1,C-3,D-2

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AAKASH SERIES-MAXIMA & MINIMA-EXERCISE-II
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  4. Let Q(x)=f(x)+f(1-x) and f''(x)lt0 for 0ltxlt1 then on (0,1/2)

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  5. f(x) =(sin^(-1)x)^2+(Cos^(-1)x)^2 is stationary at

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  6. The critical points of the function f(x)=(x-2)^(2//3)(2x+1) are

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  7. If-4lexle4 then the critical points of f(x)=x^2-6(|x|)+4 are

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  8. The maximum and minimum values of f(x)=(x-1)(x-2)(x-3) are

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  9. At x=1 the function y=x^4+3x^3-2x^2-9x+6 has

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  10. The function f(x)=3-2(x+1)^(1//3) has a

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  11. If xy(x-y)=2a^3(agt0) then y has minimum when x =

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  12. If f(x)=sqrtx,g(x)=x^2+1 then the point at which (fog)(x) has relative...

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  13. A particle is moving in a straight line such that its distance at any ...

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  14. The minimum value of the function f(x)=2^(x^2+8x+6) is obtained at x =

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  15. The minimum value of 2^((x^2-3)^3+27) is

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  16. If xgt0,ygt0,x+y=32 and x^6+y^6 is minimum then the numbers are

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  17. f(x) = sin x(1+ cos x) has maximum value at x=

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  18. The curve y=xe^x has

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  19. If (l,m,n) are the direction cosines of a line, find the maximum value...

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  20. If a^2x^4+b^2y^4=c^6 then the maximum value of xy is

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