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The valuses of x for which 1+x loge (...

The valuses of x for which
`1+x log_e (x+sqrt(x^2+1)) le sqrt(x^2 +1)` are

A

`x le 0 `

B

`0 le x le 1`

C

`x ge 0 `

D

none of these

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The correct Answer is:
C
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OBJECTIVE RD SHARMA-INCREASING AND DECREASING FUNCTIONS-Chapter Test
  1. the function f(x)=logx/x is increasing in the interval

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  2. If the function f(x)=cos|x|-2a x+b increases along the entire number s...

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  3. If f(x)= kx-sin x is monotonically increasing then

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  4. The function f(x)=xsqrt(ax-x^2), a lt 0

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  5. The function f(x)=sin^4x +cos ^4 x increases if

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  6. Let f(x)=cot^-1g(x)] where g(x) is an increasing function on the inter...

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  7. The valuses of x for which 1+x loge (x+sqrt(x^2+1)) le sqrt(x^2 +1)...

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  8. Let g(x)=f(x)-2{f(x)}^2+9{f(x)}^3 for all x in R Then

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  9. If f(x)=unerset(x^2)overset(x^(2+1))e^(-t^2) dt then f(x) increases on

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  10. The function f(x)=x^(1//x) is increasing in the interval

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  11. If phi(x) is continuous at x= alpha such that f(x)=(ax-a^2-x^2)phi(...

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  12. The function f(x) given by f(x)=|{:(x+1" "1" "1),(1" "x+1" "1),(1" "1...

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  13. If f(x)=2x^3+9x^2+lambdax+20 is a decreasing function of x in the larg...

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  14. The set of values of a for which the function f(x)=2e^x-ae^(-x)+(2a+...

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  15. The function f(x)=x e^(1-x) stricly

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  16. The function f(x)=tan^(-1)x-x is decreasing on the set

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  17. If 0 lt x lt pi/2 then

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  18. (1+x)^n le 1+ x^n where

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  19. If f is real-valued differentiable function such that f(x)f'(x)<0 for...

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  20. For what value of a,f(x)=-x^3+4ax^2+2x-5 decreasing for all x .

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