Home
Class 12
MATHS
Let RR be the set of real numbers and f,...

Let `RR` be the set of real numbers and `f, Rrto RR` be defined by `f (x)= cos ec x(x ne npi, n in z):` then image set of f is-

A

`{f(x) in RR: f (x) ge 1}`

B

`{f(x) in RR: f (x) le 1}`

C

`{f(x) in RR: |f(x) |ge 1}`

D

`{ f(x) in RR : |f(x) |gt1}`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • MCQ's

    CHHAYA PUBLICATION|Exercise QUESTION PAPER 6|90 Videos
  • MCQ ZONE 3

    CHHAYA PUBLICATION|Exercise Question Paper 8|30 Videos
  • Measures of Central Tendency

    CHHAYA PUBLICATION|Exercise Exercise 2 C Very short answer type question|18 Videos

Similar Questions

Explore conceptually related problems

Let RR be the set of real numbers and f : RR to RR be defined by f(x)=sin x, then the range of f(x) is-

Let RR be the set of real numbers and f: RR rarr RR be defined by , f(x) =x^(3) +1 , find f^(-1)(x)

Let RR be the set of real numbers and f:RR to RR be given by, f(x)=log_ex. Does f define a function ?

Let RR be the set of real numbers and the mapping f: RR rarr RR be defined by f(x)=2x^(2) , then f^(-1) (32)=

Let RR be the set of real numbers and f:RR rarr RR be defined by , f(x)=2x^(2)-5x+6 .Find f^(-1)(5) and f^(-1)(2)

Let RR be the set of real number and f: RR rarr RR , be given by f(x)=2x^(2)-1 . .Is this mapping one -one ?

Let RR be the set of real numbers and f:RR rarr RR be defined by , f(x)=2x +1 . Find g: RR rarr RR , such that (g o f) (x) =10 x+10

Let A ={1,2,3,4} and RR be the set of real numbers. If f : A to RR be deined by f (x) =x^(2) -1, then f as a set of ordered pairs will be -

Let RR be the set of all real numbers and f : R to R be given by f(x) = 3 x^(2) +1 then the set f^(-1) ([1,6]) is -

Let RR^(+) be the set of positive real numbers and f: RR rarr RR ^(+) be defined by f(x) =e^(x) . Show that, f is bijective and hence find f^(-1)(x)

CHHAYA PUBLICATION-MCQ's-QUESTION PAPER 9
  1. Out of 40 boys 30 can swim, 27 can play chess and only 5 can fo neithe...

    Text Solution

    |

  2. For two sets A and B , the three elements of AxxB are (a,x), (b,y) , ...

    Text Solution

    |

  3. The coordinates of the foci of a hyperbola are (0,4) and (0,-4) and th...

    Text Solution

    |

  4. Let RR be the set of real numbers and f, Rrto RR be defined by f (x)= ...

    Text Solution

    |

  5. The inverse of the function f(x)=(x ^(4) +x^(2) +1)/(x ^(2)) is-

    Text Solution

    |

  6. The period of the functionf(x)= tan 4x is-

    Text Solution

    |

  7. If f(x) =cos [pi^(2)]x+ cos [-pi^(2)] x, where [x] denots the greatest...

    Text Solution

    |

  8. Domain of definition of the function f(x) =sin ^(-1) [log (2)((1)/(2)x...

    Text Solution

    |

  9. The value of lim (xto0) (2^(x)-1)/(sqrt(1+x)-1) is-

    Text Solution

    |

  10. The range of the function y= (1)/(4-sin 2x) is-

    Text Solution

    |

  11. The value of lim (xto0) (tan x-sin x)/(x ^(3)) is equal to-

    Text Solution

    |

  12. The function f(x) =(1-sin x+cos x)/(1+sin x+cos x) is defined at x=pi....

    Text Solution

    |

  13. If f(x)=log("tan"(x)/(2)), then the value of f'(x) is -

    Text Solution

    |

  14. If f(x)=3x^(2)+k|sin x| is differentiable at x=0 then the value of k i...

    Text Solution

    |

  15. The derivative of f(x)=|x|^(3) at x=0 does / is-

    Text Solution

    |

  16. Let f(x) {{:((1)/(x),"when " x ge1),(a (x^(2)-1)+1, "when " x lt1):} ...

    Text Solution

    |

  17. Let x and y be two irrational numbers , state which of the following i...

    Text Solution

    |

  18. The function f(x) is defined by f(x)= {{:((x^(2) +e ^((1)/(2-x)))^(-1)...

    Text Solution

    |

  19. The value of lim (xtopi) (sqrt(1+cos x)-1)/((pi-x)^(2)) is-

    Text Solution

    |

  20. The period of sin^(2) theta is-

    Text Solution

    |