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Which of the following is/are true? (y...

Which of the following is/are true?
(you may use `f(x)=In((Inx))/(Inx)`

A

`(In2.1)^(In2.2)gt(In2.2)^(In2.1)`

B

`(In4)^(In5)gt(In5)^(In4)`

C

`(In30)^(In31)gt(In31)^(In30)`

D

`(In28)^(30)lt(In30)^(In28)`

Text Solution

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The correct Answer is:
B, C
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ARIHANT MATHS-MONOTONICITY MAXIMA AND MINIMA-Exercise (More Than One Correct Option Type Questions)
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  2. If lim(x->a) f(x) = lim(x->a) [f(x)] ([.] denotes the greatest intege...

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  3. Let S be the set of real values of parameter lamda for which the equat...

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  4. h(x)=3f((x^2)/3)+f(3-x^2)AAx in (-3, 4) where f''(x)> 0 AA x in (-3,4)...

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  5. Let f(x)=In(2x-x^(2))+"sin" (pix)/(2). Then

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  6. f(x)=tan^(-1)(sinx+cosx),"then "f(x) is increasing in

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  7. If the maximum and minimum values of the determinant |(1 + sin^(2)x...

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  8. Let f(x)={:{(x^(2)+4x",",-3lexle0),(-sinx",",0ltxle(pi)/(2)),(-cosx-1"...

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  9. Let f(x)=ab sin x+bsqrt(1-a^(2))cosx+c, where |a|lt1,bgt0 then

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  10. If f(x)=int(x^(m))^(x^(n))(dt)/(Int),xgt0andngtm, then

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  11. f(x)=sqrt(x-1)+sqrt(2-x)andg(x)=x^(2)+bx+c are two given functions suc...

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  12. find the intervals f(x)=6x^2-24x+1 increases and decreases

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  13. For the function f(x)\ =\ 1n\ (1-1n\ x) which of the following d...

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  14. The function f(x)={:{(x+2,ifxlt-1),(x^(2),if-1lexle1),((x-2)^(2),ifxge...

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  15. A function f is defined by f(x) = int0^pi cos t cos(x-t)dt,0 <= x <= 2...

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  16. Let f(x)=(x-1)/(x^(2)), then which of the following is incorrect?

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  17. Let f(x) be diferentiable function on the interval (-oo,0) such that...

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  18. If f:RrarrR(1)f(x) is a differentiable bijective function, then whic...

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  19. Let f:(0,oo)rarr(0,oo) be a derivable function and F(x) is the primiti...

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