Home
Class 12
MATHS
Let A = {1, 2, 3}, B = {4, 5, 6, 7} and ...

Let `A = {1, 2, 3}, B = {4, 5, 6, 7}` and `f = {(1, 4), (2, 5), (3, 6)}` be a function from A to B. Show that f is one-one.

Promotional Banner

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    PSEB|Exercise Exercise|118 Videos

  • PROBABILITY

    PSEB|Exercise Exercise|140 Videos

  • THREE DIMENSIONAL GEOMETRY

    PSEB|Exercise Exercise|77 Videos

Similar Questions

Explore conceptually related problems

Let A = {1, 2, 3}, B = {4, 5, 6, 7} and let f = {(1, 4), (2, 5), (3, 6)} be a function from A to B. Show that f is one-one.

Let A={1,2,3}, B.:= {4, 5, 6,7}, and f = {(1, 4), (2,5), (3, 6) be function from A to B state whether the function f is one-one or not.

Let A= {2, 5, 7} , B = {6, 7, 8, 9} and f= {(2, 7), (5, 9), (7, 6)} be a function from A to B, then f is:

Let A = {1, 2, 3}, B= {4, 5} and let f = {(1, 4), (2, 5), (3, 5)}. Show that ‘f’ is an onto function from A into B.

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

Let A = {1, 2, 3, 4,5,6} and B = {2,4,6, 8}. Find A xx B .

Let A= {1, 2, 3}, B= {3, 4} and C = {4, 5, 6}. Find : Axx (B uu C) .

Let A = {1, 2, 3, 4, 5, 6} B = {3, 4,5, 6, 7, 8}. Find (A-B) uu (B -A) .

Let A= {1, 2, 3}, B= {3, 4} and C = {4, 5, 6}. Find : (A xx B) nn (AxxC) .

PSEB-RELATIONS AND FUNCTIONS-Exercise
  1. Prove that Modulus Function f: R rarr R given by : f(x) = | x | is nei...

    Text Solution

    |

  2. Show that the Signum Function f:RrarrR given by f(x) = {(1,,if x>0,,)...

    Text Solution

    |

  3. Let A = {1, 2, 3}, B = {4, 5, 6, 7} and f = {(1, 4), (2, 5), (3, 6)} b...

    Text Solution

    |

  4. In the following case, state whether the function is one-one, onto or ...

    Text Solution

    |

  5. In the following case, state whether the function is one-one, onto or ...

    Text Solution

    |

  6. Let f:NrarrN be defined by, f(n) = {((n+1)/2,,if n is odd,,),(n/2,,if ...

    Text Solution

    |

  7. Let A=R-{3} and B=R-{1} . Consider the function f:A–>B. defined by f(x...

    Text Solution

    |

  8. Let f : RrarrR be defined as f (x) = 3x Choose the correct answer.

    Text Solution

    |

  9. Let f : (2, 3, 4, 5} rarr ( 3, 4, 5, 9} and g = (3, 4, 5, 9} rarr (7, ...

    Text Solution

    |

  10. Let f, g and h be functions from R to R. Show that (f + g)oh = foh + g...

    Text Solution

    |

  11. Find gof and fog, if f(x) = |x| and g(x) = |5x -2|

    Text Solution

    |

  12. Find gof and fog, if f(x) = 8x^3 and g(x) = x^(1/3)

    Text Solution

    |

  13. If f(x)=(4x-3)/(6x-4) ,x != 2/3 show that f@f(x) =xfor all x != 2/3.wh...

    Text Solution

    |

  14. State with reason whether following functions have inverse: f: {1,2,3,...

    Text Solution

    |

  15. State with reason whether following functions have inverse: g: {5,6,7,...

    Text Solution

    |

  16. State with reason whether following functions have inverse: h: {2,3,4,...

    Text Solution

    |

  17. Consider f : R → R given by f(x) = 4x + 3. Show that f is invertible. ...

    Text Solution

    |

  18. Consider f : R+rarr [4, oo) given byf (x) = x^2 + 4 Show that f is inv...

    Text Solution

    |

  19. Consider f : {1, 2, 3} rarr {a, b, c}, given by f (1) = a, f (2) = b ...

    Text Solution

    |

  20. Let f : X rarr Y be an invertible function. Show that the inverse of ...

    Text Solution

    |