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The real number x when added to its inve...

The real number x when added to its inverse gives the minimum value of the sum at x=

A

1

B

`-1`

C

`-2`

D

2

Text Solution

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The correct Answer is:
A
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AAKASH SERIES-MAXIMA AND MINIMA -PRACTICE SHEET (EXERCISE -I) (LEVEL -I) (STRAIGHT OBJECTIVE TYPE QUESTIONS)
  1. If f(x) = a log |x| + bx^(2) + x has extreme values at x = -1 and x = ...

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  2. f(x)=x^(3)-3x^(2)+6x+7 has

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  3. If x is real, then the minimum value of y=(x^(2)-x+1)/(x^(2)+x+1) is

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

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  5. Greatest value of ((1)/(x))^(x) is

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  6. If 2lexle4 then the max value of f(x)=(x-2)^(6)(4-x)^(5) is

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  7. The function f(x)=4x^5-25x^4+40x^3-10 has

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  8. If xy(x-y)=2a^3(agt0) then y has minimum when x =

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  9. Let f(x)=(x-3)^(5)(x+1)^(4) then

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  10. Then function f(x)=int(-2)^(x)t(e^(t)-1)(t-2)^(3)(t-3)^(5)dt has a loc...

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  11. f(x)=(x-2)^(2)x^(n), n inN then f(x) has

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  12. If the function f(x)=x^(3)+3(a-7)x^(2)+3(a^(2)-9)x-1 has a positive p...

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  13. Given : f(x)=x^((1)/(x)),(xgt0) has the maximum value at x=e , then

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  14. Let f(x)=(x-2)(x^(4)-4x^(3)+6x^(2)-4x+1) then value of local minimum ...

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  15. Let f be continuous and differentiable function such that f(x) and f(x...

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  16. Consider the polynomial f(x)=1+2x+3x^(2)+4x^(3) . Let s be the sum of ...

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  17. If f(x)=x^(5)-5x^(4)+5x^(3)-10 has local maximum and minimum at x=p an...

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

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  19. All possible value of x for which the function f(x)=x In x-x+1 is posi...

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  20. The real number x when added to its inverse gives the minimum value of...

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