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f(x)=(x)/(5)+(5)/(x)(x ne0) is increasin...

`f(x)=(x)/(5)+(5)/(x)(x ne0)` is increasing in

A

`(-5,0)`

B

(0,5)

C

`(-oo,-5)uu(5,oo)`

D

`(-5,5)`

Text Solution

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The correct Answer is:
C
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AAKASH SERIES-MAXIMA AND MINIMA -PRACTICE SHEET (EXERCISE -I) (LEVEL -I) (STRAIGHT OBJECTIVE TYPE QUESTIONS)
  1. f(x)=(x)/(5)+(5)/(x)(x ne0) is increasing in

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  2. The function f(x)=(x)/(2)+(2)/(x) has a local minimum at

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  3. f(x)=x+(1)/(x) is decreasing when x in

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  4. f(x)=(1)/(x-1) is decreasing in

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  5. If y=8x^(3)-60x^(2)+144x+57 is a decreasing function in the interval (...

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  6. The set of values 'x' for which f(x)=x^(3)+6x^(2)+27x+10 is increasisn...

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  7. The set of values of a for which f(x)=x^(3)-ax^(2)+48x+1 is increasing...

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  8. A stationary point of f(x)=sqrt(16-x^(2)) is

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  9. I : The function f(x)=9x^(2)-15x-x^(3)+10 is increasing in (1,5) II...

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  10. If ma and M respectively denote the minimum and maximum of f(x) =(x-1)...

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  11. Assertion (A) : The maximum value of quadratic function -x^(2)+3x+1 i...

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  12. A function is matched below against an interval where it is supposed t...

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  13. If 15ltxlt30 then f(x)=|x-15|+|x-30| is

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  14. If xgt0 then the interval of monotonically increasing of f(x)=2x^(2)-l...

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  15. f(x)= In (lnx) is increasing in

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  16. If x gt 0 , the maximum value of (log x) /x is

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  17. f(x)=(logx)/(x)(xgt0) is increasing in

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  18. f(x)=log(a)x(xgt0) is decreasing function if

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  19. The function x+log((x)/(1+x)) is increasing when x belong to the inte...

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  20. f(x)=log(1-x^(2)) is dereasing in

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