Home
Class 12
MATHS
If f(x)= x^(3) + (1)/(x^(3) )(x ne 0), t...

If `f(x)= x^(3) + (1)/(x^(3) )(x ne 0)`, then its greatest value is-

A

2

B

1

C

3

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • MCQ ZONE 3

    CHHAYA PUBLICATION|Exercise Question Paper 6|30 Videos
  • MCQ ZONE 3

    CHHAYA PUBLICATION|Exercise Question Paper 7|30 Videos
  • MCQ ZONE 3

    CHHAYA PUBLICATION|Exercise Question Paper 4|30 Videos
  • MCQ ZONE

    CHHAYA PUBLICATION|Exercise Question Paper 7|80 Videos
  • MCQ's

    CHHAYA PUBLICATION|Exercise QUESTION PAPER 9|66 Videos

Similar Questions

Explore conceptually related problems

Let f (x+(1)/(x))= x^(2) +(1)/(x^(2)) , x ne 0, then the value of f (x) is-

If f(x) = x+ 1/x , x>0 then the greatest value of f(x) is (a) -2 (b)0 (c) 3 (d) none of these

If 2f(x) - 3f(1/x) = x^2 (x ne 0) , then find f(2).

If f(x)=int(3x^2+1)/((x^2-1)^3)dx and f(0)=0, then the value of |2/(f(2))| is___

(|x-3|)/(x-3)gt0(x ne 3)

If f (x) =(alphax)/(x+1) (x ne -1), then the value of alpha for which f {f(x)}=x is-

If f(x)= (Kx)/(1 + x), x ne -1 and f{f(x)} = x, then the value of k

Let f(x) = x^(3) e^(-3x) , x gt 0 . Then the maximum value of f(x) is:

f(x) = (alpha x)/(x + 1) (x ne -1) , then for what value of alpha , f{f(x)} = x?

CHHAYA PUBLICATION-MCQ ZONE 3 -Question Paper 5
  1. The normal to the curve x= a(1 + cos theta ) , y= a sin theta at the ...

    Text Solution

    |

  2. If the area bounded by the parabola y= ax^(2) and x= ay^(2) , a gt 0...

    Text Solution

    |

  3. The locus of the middle point of the intercept of the tangent drawn fr...

    Text Solution

    |

  4. Which one of the following definite integrals represents the area inc...

    Text Solution

    |

  5. A normal to the parabola y^(2)=5x makes an angle 45^(@) with the x-ax...

    Text Solution

    |

  6. If the tangents to the graph of the function y= f(x) make angle (pi)/(...

    Text Solution

    |

  7. The maximum value of xy when x+2y=8 is

    Text Solution

    |

  8. The function f(x)= tan^(-1) (sin x + cos x ), x gt 0 is always an inc...

    Text Solution

    |

  9. The points of extrema of the function f(x)= int(0)^(x)(sin t)/(t)dt i...

    Text Solution

    |

  10. The minimum value of the function f(x)= sin x + cos x is-

    Text Solution

    |

  11. The perimeter of a sector is p , then the area of the sector is maxim...

    Text Solution

    |

  12. The value of a ( a ge 3) for which the sum of the cubes of the roots ...

    Text Solution

    |

  13. If f(x)= x^(3) + (1)/(x^(3) )(x ne 0), then its greatest value is-

    Text Solution

    |

  14. The nearest point on the line 3x- 4y = 25 from the origin is

    Text Solution

    |

  15. If the slope of the tangent at (x, y) to a curve passing through the p...

    Text Solution

    |

  16. An open box, with a square base, is to be made out of a given quantity...

    Text Solution

    |

  17. If the radius of a sphere is measured as 5 m with an error of 0.02 m, ...

    Text Solution

    |

  18. If the volume of a sphere increases at a constant rate, then the rate ...

    Text Solution

    |

  19. Let A(0, 75), B(90, 0) , C(60, 40) and D(45, 25) be the corner points ...

    Text Solution

    |

  20. If f(x)= 2x^(2) + 10 x - 7 , then the approximate value of f(2.05) i...

    Text Solution

    |