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Statement-I : The maximum value of (logx...

Statement-I : The maximum value of `(logx)/x" in "0ltxltoo" is "2/e`
Statement-II : `y=x^3+1/x^3` is an increasing function in the interval `0ltxlt1`
Which of the above statement is true

A

only I

B

only II

C

both I,II

D

neither I nor II

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The correct Answer is:
D
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AAKASH SERIES-MAXIMA & MINIMA-EXERCISE-III
  1. The maximum hight of the curve y=6cosx-8sinx above the x-axis

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  2. f(x)=ae^x+be^(-x)(abgt0) has maximum value when

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  3. Find the point on the curve y^2=4x which is nearst to the point (2,1)

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  4. Observe the following statements : List-I: (A) If x+y=k then x^2+y^...

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  5. Statement-I : The maximum value of (logx)/x" in "0ltxltoo" is "2/e S...

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  6. Statement-I : f(x)=sqrt3sinx+cosx has a greatest value when x=pi/6 S...

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  7. The perimeter of a sector is 24 cm. Its maximum area in sq.cm is

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  8. The triangle of maximum area that can be inscribed in a circle is

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  9. ABCD is rectangle in which AB= 9cm , BC =6 cm . P is a point in CD suc...

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  10. A straight line through the fixed point (3,4) cuts the coordinate axes...

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  11. If a triangle of maximum area is inscribed in a circle of radius 30cm ...

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  12. Let f(x) be any function. Observe the following lists {:("List-I","L...

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  13. Assertion (A) : The maximum area of rectangle inscribed in a circle of...

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  14. Assertion (A) : The maximum value of log(1//3)(x^2-4x+5) is 0 Reason...

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  15. The condition that f(x) =ax^3+bx^2+cx+d has no extreme value is

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  16. The function f(x) =Cot^(-1)x+x increasing in the interval

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  17. A function is matched below agnaist an interval where it is supposed t...

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  18. The value of a for which the sum of the squares of the roots ...

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  19. Area of the largest rectangle that can be inscribed in the ellipse (x^...

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  20. Let f : R to R be defined, by {{:(k-2x,"if"" "x le -1),(2x+3,"if" " "...

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