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

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` . State whether `f` is one-one or not.

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • DIRECTION COSINES AND DIRECTION RATIOS

    RD SHARMA ENGLISH|Exercise All Questions|90 Videos
  • HIGHER ORDER DERIVATIVES

    RD SHARMA ENGLISH|Exercise All Questions|179 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 let f={(1,4),(2,5),(3,6)} be a function from A to B. Show that f is one - one but not onto.

Let A={2,3,4}, B={7,8,9,10} and f={(2,7),(3,8),(4,9)} be a function from A to B . Show that f is one to one but not onto function.

If A={1,2,3,4,5,6,7,8} and B={1,3,4,6,7,8,9} then

If A={1,3,5,7},\ B={2,4,6,8, 10} and let R={(1,8),(3,6),(5,2),(1,4)} be a relation form A to B. Then, find Dom(R) and Ran (R)

Let A={1,2,3},\ B={5,6},\ C={4,7,8} . Then AuuBuuC={1,2,3,4,5,6,7,8}

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

Let A={1,2,3,4,5} and B={-2,-1,0,1,2,3,4,5}. Onto functions from A to A such that f(i) ne i for all i , is

Let A={1,2,3,4,5} and B={-2,-1,0,1,2,3,4,5}. Non-decreasing functions from A to B is

Let U={1,2,3,4,5,6,7,8,9}, B={2,4,6,8} andC={3,4,5,6} Find (B-C)' .

RD SHARMA ENGLISH-FUNCTION-All Questions
  1. If f\ : R-: R be defined by f(x)=(3-x^3)^(1//3)\ , then find fof(x)

    Text Solution

    |

  2. If f: R->R is defined by f(x)=3x+2 , find f(f(x)) .

    Text Solution

    |

  3. Let A={1,2,3},\ B={4,5,6,7} and let f={(1,4),\ (2,5),\ (3,6)} be a ...

    Text Solution

    |

  4. If f:{5,\ 6}->{2,\ 3} and g:{2,\ 3}->{5,\ 6} are given by f={(5,\ 2),\...

    Text Solution

    |

  5. Let f: R->R be the function defined by f(x)=4x-3 for all x in R . The...

    Text Solution

    |

  6. Which one the following relations on A={1,\ 2,\ 3} is a function? f...

    Text Solution

    |

  7. Write the domain of the real function f defined by f(x)=sqrt(25-x^2) .

    Text Solution

    |

  8. Let A={a , b , c , d}a n df: AvecA be given by f={(a , b),(b , d),(c ,...

    Text Solution

    |

  9. Let f,g: Rvec be defined by f(x)=2x+1a n d g(x)=x^2-2 for all x in ...

    Text Solution

    |

  10. If the mapping f:{1,\ 3,\ 4}->{1,\ 2,\ 5} and g:{1,\ 2,\ 5}->{1,\ 3} ,...

    Text Solution

    |

  11. If a function g={(1,1),(2,3),(3,5),(4,7)} is described by g(x)=alphax+...

    Text Solution

    |

  12. If f(x)=-4-(x-7)^3 , write f^(-1)(x)dot

    Text Solution

    |

  13. Let A={x in R :-1lt=xlt=1}=B and C={x in R : xgeq0} and let S={(x ,\...

    Text Solution

    |

  14. f: R->R given by f(x)=x+sqrt(x^2) is (a) injective (b) surjective (...

    Text Solution

    |

  15. If f: A->B given by 3^(f(x))+2^(-x)=4 is a bijection, then A

    Text Solution

    |

  16. The function f: R->R defined by f(x)=2^x+2^(|x|) is (a) one-one and on...

    Text Solution

    |

  17. Let the function f: R-{-b}->R-{1} be defined by f(x)=(x+a)/(x+b) , a!=...

    Text Solution

    |

  18. The function f: A->B defined by f(x)=-x^2+6x-8 is a bijection, if A=(-...

    Text Solution

    |

  19. Let A={x in R :-1lt=xlt=1}=B . Then, the mapping f: A->B given by f(...

    Text Solution

    |

  20. Let f: R->R be given by f(x)=[x]^2+[x+1]-3 , where [x] denotes the gre...

    Text Solution

    |