Home
Class 12
MATHS
A function f:(0,oo) -> [0,oo] is given b...

A function `f:(0,oo) -> [0,oo]` is given by `f(x)=|1-1/x|` , then `f(x)` is (A) Injective but not surjective (B) Injective and bijective (C) Injective only (D) Surjective only

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • JEE MAIN

    JEE MAINS PREVIOUS YEAR ENGLISH|Exercise MATH|21 Videos
  • LIMITS AND DERIVATIVES

    JEE MAINS PREVIOUS YEAR ENGLISH|Exercise All Questions|5 Videos

Similar Questions

Explore conceptually related problems

Let f:[-oo,0)->(1,oo) be defined as f(x)=(1+sqrt(-x))-(sqrt(-x)-x) then f(x) is (A) injective but not surjective (B) injective as well as surjective (C) neither injective nor surjective (D) surjective nut not injective

f: R->R given by f(x)=x+sqrt(x^2) is (a) injective (b) surjective (c) bijective (d) none of these

Let R be the set of real numbers. If f:R->R is a function defined by f(x)=x^2, then f is injective but not surjective surjective but not injective bijective none of these (a) injective but not surjective (b) surjective but not injective (c) bijective (d) non of these

Let A{x :-1lt=xlt=1}a n df: Avec such that f(x)=x|x|, then f is (a) bijection (b) injective but not surjective (c)Surjective but not injective (d) neither injective nor surjective

Let A}x :-1lt=xlt=1}a n df: Avec A such that f(x)=x|x|, then f is (a) bijection (b) injective but not surjective Surjective but not injective (d) neither injective nor surjective

The function f: R->R , f(x)=x^2 is (a) injective but not surjective (b) surjective but not injective (c) injective as well as surjective (d) neither injective nor surjective

Let A={x in R :-1lt=xlt=1}=B . Then, the mapping f: A->B given by f(x)=x|x| is (a) injective but not surjective (b) surjective but not injective (c) bijective (d) none of these

Let A={x in R :-1lt=xlt=1}=B . Then, the mapping f: A->B given by f(x)=x|x| is (a) injective but not surjective (b) surjective but not injective (c) bijective (d) none of these

Let A={x:xepsilonR-{1}}f is defined from ArarrR as f(x)=(2x)/(x-1) then f(x) is (a) Surjective but nor injective (b) injective but nor surjective (c) neither injective surjective (d) injective

Let S be the set of all triangles and R^+ be the set of positive real numbers. Then the function f: SrarrR^+,f(Delta)=area of Delta ,where Delta in S , is injective but not surjective. surjective but not injective injective as well as surjective neither injective nor surjective

JEE MAINS PREVIOUS YEAR ENGLISH-JEE MAINS-All Questions
  1. The centre of an ellipse is at origin and its major axis coincides wit...

    Text Solution

    |

  2. Given ABCD is a parallelogram wilth vertices as A(1,2),B(3,4) and C(2,...

    Text Solution

    |

  3. A function f:(0,oo) -> [0,oo] is given by f(x)=|1-1/x| , then f(x) is ...

    Text Solution

    |

  4. Find y(x), if it satisfies the following differential equation (dy)/(d...

    Text Solution

    |

  5. The integral int(pi//6)^(pi//4)dx/(sin2x(tan^5x+cot^5x))equal

    Text Solution

    |

  6. If the curve C is given by the relation y=x^2 +1. Then the area enclos...

    Text Solution

    |

  7. If for a non constant A.P. t19=0. Then the ratio of t49:t29 is ...

    Text Solution

    |

  8. There are 30 white balls and 10 red balls in bag. 16 balls are drawn w...

    Text Solution

    |

  9. lim(x-gt0) (xcot4x)/((cot^2 2x)(sin^2 x)) is equal to (A) 1 ...

    Text Solution

    |

  10. If int((x+1))/sqrt(2x-1) dx= f(x) sqrt(2x-1)+C. Then f(x) is equal to ...

    Text Solution

    |

  11. Position vector of ponts A, B, C are veca, vecb, vecc respectively whi...

    Text Solution

    |

  12. If x,y is positive real numbers then maximum value of (x^my^m)/((1+x^(...

    Text Solution

    |

  13. Contrapositive of the statement. If the squares of two numbers are equ...

    Text Solution

    |

  14. Set of value of x for which f(x)=sin|x|-|x|+2(x-pi)cos|x| is not diffe...

    Text Solution

    |

  15. Given, sn=1+q+q^2++q^n ,Sn=1+(q+1)/2+((q+1)/2)^2++((q+1)/2)^n ,q!=1 p...

    Text Solution

    |

  16. If f(x)=x/sqrt(a^2+x^2)-((d-x))/sqrt(b^2+(d-x)^2) then (A) f(...

    Text Solution

    |

  17. Given (b+c)/(11) = (c+a)/(12) = (a+b)/(13) for a Delta ABC with usu...

    Text Solution

    |

  18. If Det(A A^T B)=8 and Det(AB^-1)=8, then the value of Det(BB^T A^-1) ...

    Text Solution

    |

  19. If |(a-b-c, 2a, 2a),(2b, b-a-c, 2b),(2c, 2c, c-a-b)|=(a+b+c)(x+a+b+c)^...

    Text Solution

    |

  20. If (x+10)^50+(x−10)^50=a0+a1 x+a2x^2+........a50x^2+...........+a50x^5...

    Text Solution

    |