Home
Class 10
MATHS
If a function f: A to B is both one-one ...

If a function `f: A to B` is both one-one and onto then f is called a____.

Text Solution

Verified by Experts

The correct Answer is:
Bijiction
Promotional Banner

Topper's Solved these Questions

  • COORDINATE GEOMETRY

    SURA PUBLICATION|Exercise Unit Test|12 Videos

  • GEOMETRY

    SURA PUBLICATION|Exercise Unit Test (Section -D)|2 Videos

Similar Questions

Explore conceptually related problems

Let A={1,3,5}, B={6,7,8} and f={(1,6),(3,7),(5,8)} be a function from A to B . Show that f is one to one and onto function.

Let f: X rarr Y be a function defined by f(x) = a sin ( x + pi/4 ) + c. If f is both one-one and onto, then find the set X and Y

Let f: A to B and g: B to C be two functions. Then; if gof is onto then g is onto; if gof is one one then f is one-one and if gof is onto and g is one one then f is onto and if gof is one one and f is onto then g is one one.

Prove that the function f: R to R, given by f (x) =2x, is one-one and 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.

Let A={2,4,6}, B={8,10,12,14} and f={(2,8),(4,10),(6,12)} be a function from A to B . Show that f is one to one but not onto function.

Let f: A to B be a function such that f(A) =B . Then f is called

Let A ={ 1,2,3,4,} and B = { a,b,c,d }. Give a function from A to B for each of the : one -to -one and onto.

Let A ={ 1,2,3,4,} and B = { a,b,c,d }. Give a function from A to B for each of the : one-to-one but not onto.

SURA PUBLICATION-CREATIVE QUESTION SET -Multiple Choice Question
  1. If n(A)=p and n(B)=q then n(AtimesB).

    Text Solution

    |

  2. A curve drawn in a graph represents a function, if every line interse...

    Text Solution

    |

  3. If a function f: A to B is both one-one and onto then f is called a.

    Text Solution

    |

  4. Let X={1, 2, 3, 4} and Y={2, 4, 6, 8, 10} and R={(1, 2), (2, 4), (3, 6...

    Text Solution

    |

  5. The difference between relation and function is .

    Text Solution

    |

  6. The HCF of numbers of the form 2^(m) and 3^(n) is .

    Text Solution

    |

  7. If G.P if t(1)=(1)/(5) and t(2)=(1)/(25) then the common ratio is .

    Text Solution

    |

  8. If first term=a, common ratio=r then find the value of t(27)=.

    Text Solution

    |

  9. 1+2+3+….+55=.

    Text Solution

    |

  10. Find the next term of the sequence (1)/(2), (1)/(6), (1)/(10), (1)/(14...

    Text Solution

    |

  11. Sum of n-terms of a G.P. is .

    Text Solution

    |

  12. 1^(2)+2^(2)+3^(2)+….+19^(2)=.

    Text Solution

    |

  13. The average of first 100 natural number is .

    Text Solution

    |

  14. The numbers of the form a, a+d, a+2d, a+3d is said to form.

    Text Solution

    |

  15. Who is the " Father of Geometry"?

    Text Solution

    |

  16. If a and b are any two integers then there exists unique integers q an...

    Text Solution

    |

  17. A linear equation in three variables of the form ax+by+cz+d=0 represen...

    Text Solution

    |

  18. sqrt(361x^(4)y^(2))=

    Text Solution

    |

  19. A square matrix, all of whose elements except those in the leading dia...

    Text Solution

    |

  20. If the graph of the given equation does not intersect the x-axis at an...

    Text Solution

    |