Home
Class 12
MATHS
Let f(x)=(x-1)/(x^(2)), then which of th...

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

A

f(x) has minima but no maxima

B

f(x) increase in the interval (0,2) and decreases in the interval `(oo,0)cup(2,oo)`

C

f(x) can come down in `(-oo,0)cup(2,3)`

D

x=2 is the point of inflection

Text Solution

Verified by Experts

The correct Answer is:
B, C, D
Promotional Banner

Topper's Solved these Questions

  • MONOTONICITY MAXIMA AND MINIMA

    ARIHANT MATHS|Exercise Exercise (Statement I And Ii Type Questions)|9 Videos

  • MONOTONICITY MAXIMA AND MINIMA

    ARIHANT MATHS|Exercise Exercise (Passage Based Questions)|35 Videos

  • MONOTONICITY MAXIMA AND MINIMA

    ARIHANT MATHS|Exercise Exercise (Single Option Correct Type Questions)|28 Videos

  • MATRICES

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|49 Videos

  • PAIR OF STRAIGHT LINES

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|2 Videos

Similar Questions

Explore conceptually related problems

Let f(x)=(x-1)/(x^(2)) then which of the following is correct?

If f(x)=[x sin pix] , then which of the following, is incorrect,

Let f(x)=tan^(-1)((sqrt(1+x^(2))-1)/(x)) then which of the following is correct :

f(x)=2x^(3)-3x^(2)-x+(3)/(2) then which of the following is/are incorrect? int_((1)/(3))^((1)/(8))f(f(x))dx=(3)/(4)

Let f(x)={x}+{-x} then which of the following is false?

Let f:R rarr[-1,1] be defined as f(x)=cos(sin x), then which of the following is(are) correct?

For the fucntion f(x)=x cos ""1/x, x ge 1 which one of the following is incorrect ?

Let f(x)=sin^(-1)x and g(x)=cos^(-1)x , then which of the following statements are correct?

ARIHANT MATHS-MONOTONICITY MAXIMA AND MINIMA-Exercise (More Than One Correct Option Type Questions)
  1. Which of the following is/are true? (you may use f(x)=In((Inx))/(Inx...

    Text Solution

    |

  2. If lim(x->a) f(x) = lim(x->a) [f(x)] ([.] denotes the greatest intege...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |