Home
Class 12
MATHS
Let A = {x, y, z), B = {u, v, w} and f :...

Let A = {x, y, z), B = {u, v, w} and f : A `rarr` B be defined by f(x) = u,
f(y) = v, f(z) = w. Then, f is

A

surjective but not injective

B

injective but not surjective

C

bijective

D

None of the above

Text Solution

Verified by Experts

The correct Answer is:
C
A = {x, y, z}, B = {u, v, w}
Now, f : `A rarr B`

f is one-one and f is onto.
Promotional Banner

Topper's Solved these Questions

  • SETS, RELATIONS AND FUNCTIONS

    ARIHANT MATHS|Exercise Exercise (More Than One Correct Option Type Questions)|3 Videos

  • SETS, RELATIONS AND FUNCTIONS

    ARIHANT MATHS|Exercise Exercise (Passage Based Questions)|6 Videos

  • SETS, RELATIONS AND FUNCTIONS

    ARIHANT MATHS|Exercise Exercise For Session 3|10 Videos

  • SEQUENCES AND SERIES

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|38 Videos

  • THE STRAIGHT LINES

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|18 Videos

Similar Questions

Explore conceptually related problems

Let A={x,y,z}=B={u,v,w) and f:A to B be defined by f (x)=u, f(y)=v, f(z)=w . Then, f is

Let A=R-{3},B=R-{1}, and let f:A rarr B be defined by f(x)=(x-2)/(x-3) is f invertible? Explain.

Let A={x:(-2)/(5)<=x<=(pi-2)/(5)} and B={y:-1<=y<=1} and f:A rarr B is defined by f(x)=cos(5x+2) . Then f^(-1)(x) is

Let the function f;R-{-b}rarr R-{1} be defined by f(x)=(x+a)/(x+b),a!=b, then

Let f: Z->Z be defined by f(x)=x+2. Find g: Z->Z such that gof=I_Z .

Let a,b,c be rational numbers and f:Z rarr Z be a function given by f(x)=ax^(2)+bx+c Then,a+b is

If f: Z to Z be given by f(x)=x^(2)+ax+b , Then,

Let f:R rarr R be a function such that f(x+y)=f(x)+f(y),AA x,y in R

Let A={a ,\ b ,\ c} , B={u\ v ,\ w} and let f and g be two functions from A to B and from B to A respectively defined as: f={(a ,\ v), (b ,\ u),\ (c ,\ w)} , g={(u ,\ b),\ (v ,\ a),\ (w ,\ c)}dot Show that f and g both are bijections and find fog and gofdot

ARIHANT MATHS-SETS, RELATIONS AND FUNCTIONS -Exercise (Single Option Correct Type Questions)
  1. Let A = {x : x is a multiple of 3} and B = {x : x is a multiple of 5),...

    Text Solution

    |

  2. Let A = {1, 2, 3}, B = {3, 4} and C = {4, 5, 6}, the Auu(BnnC) is

    Text Solution

    |

  3. Let A = {x, y, z), B = {u, v, w} and f : A rarr B be defined by f(x) =...

    Text Solution

    |

  4. If A = {2, 4) and B = {3, 4, 5), then (A nn B) xx (A uu B) is

    Text Solution

    |

  5. In the set X = {a, b, c, d}, which of the following functions in X?

    Text Solution

    |

  6. The composite mapping fog of the maps f:R to R , f(x)=sin x and g:R to...

    Text Solution

    |

  7. Which of the following is the empty set

    Text Solution

    |

  8. In order that a relation R defined on a non-empty set A is an equivale...

    Text Solution

    |

  9. If A = {p,q,r, s} and B = {1, 2, 3}, find which of the following is n...

    Text Solution

    |

  10. For n,mepsilonN,n|m means that n is a factor of m then relation | is

    Text Solution

    |

  11. The solution of 8x = 6 (mod 14) is

    Text Solution

    |

  12. Let A be a set containing 10 distinct elements,then the total number o...

    Text Solution

    |

  13. Let A and B be two non empty subsets of set X such that A is not a sub...

    Text Solution

    |

  14. f and h are function from A rarr B, where A = {a, b, c, d} and B = {s,...

    Text Solution

    |

  15. Let I be the set of integer and f : I rarr I be defined as f(x) = x^(2...

    Text Solution

    |

  16. Which of the four statements given below is different from other?

    Text Solution

    |

  17. Let A={1,2,..., n} and B={a , b }. Then number of subjections from A i...

    Text Solution

    |

  18. Let f:R to R be defined by f(x)=3x-4. Then, f^(-1)(x) is

    Text Solution

    |

  19. f:R to R is a function defined by f(x)=10x -7, if g=f^(-1) then g(x)=

    Text Solution

    |

  20. Let R be a relation defined by R = {(a, b) : a ge b}, where a and b a...

    Text Solution

    |