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The smallest value of of the constant m ...

The smallest value of of the constant `m gt 0` for which `f(x) = 9mx - 1 + (1)/(x)ge 0` for all `x gt 0`, is

A

`1/9`

B

`1/(16)`

C

`1/(36)`

D

`1/(81)`

Text Solution

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The correct Answer is:
C
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DIPTI PUBLICATION ( AP EAMET)-QUADRATIC EXPRESSIONS-EXERCISE 1B (QUADRATIC EXPRESSIONS)
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  6. IF x gt -c then the minimum value of (( a+x) (b +x))/( c+x) ...

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  11. { x in R:(14x)/(x+1)-(9x-30)/(x-4)lt0} is equal to

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  12. IF the inequation sqrt(3x -8) lt -2 then

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  13. if the inequation sqrt(x+5 lt -x then

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  14. If the inequation sqrt( x^2 - 18 x+ 72 ) lt x -1 then

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  15. IF sqrt(9x^2 + 6x +1) lt (2-x) then

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  16. If the inequation sqrt((x+2)(x-5)) gt 8 -x then x lies in

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  17. If the inequation (sqrt(6+x-x^2 ))/( x+10) le sqrt((8-2x -x^2))/( 2...

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  18. if the inequation ( sqrt( 8-2x -x^2 ))/(x+10) le sqrt((8-2x -x ^2))...

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