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____.

A

into function

B

many one function

C

bijection

D

onto function

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • NUMBER AND SEQUENCES

    SURA PUBLICATION|Exercise Unit test|12 Videos

  • RELATIONS AND FUNCTIONS

    SURA PUBLICATION|Exercise Unit Test|14 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-ONE MARK QUESTIONS SET -Multiple Choice Question
  1. The probability of getting a job for a person is (x)/(3). If the proba...

    Text Solution

    |

  2. If f(x)=2x^(2) and g(x)=(1)/(3x). Then fog is

    Text Solution

    |

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

    Text Solution

    |

  4. The first term of an arithmetic progressions is unity and the common d...

    Text Solution

    |

  5. If 59equiv3 (mod 7) then find 368 equiv (mod 7).

    Text Solution

    |

  6. y^(2)+(1)/(y^(2)) is not equal to

    Text Solution

    |

  7. If alpha+ beta=-7 and alpha beta=10 then find the value of alpha-beta=...

    Text Solution

    |

  8. Which one of the following is true for any two square matrices A and B...

    Text Solution

    |

  9. The perimeters of two similar triangles triangleABC and trianglePQR ar...

    Text Solution

    |

  10. The slope of the line joining (12, 3), (4, a) is (1)/(8). The value of...

    Text Solution

    |

  11. If sintheta=costheta, then the value of 'theta' is .

    Text Solution

    |

  12. The electric pole subtends an angle of 30^(@) at a point on the same l...

    Text Solution

    |

  13. A spherical ball of radius r(1) units is melted to make 8 new identica...

    Text Solution

    |

  14. A solid sphere of radius x cm is melted and cast into a shape of a sol...

    Text Solution

    |

  15. The standard deviation of a data is 3 . If each value is multiplled by...

    Text Solution

    |

  16. Let f(x)=sqrt(1+x^(2)) then

    Text Solution

    |

  17. If f: A to B is a bijective function and if n(A)=5, then n(B) is equal...

    Text Solution

    |

  18. The sum of the exponents of the prime factors in the prime factorizati...

    Text Solution

    |

  19. If 1^(3)+2^(3)+3^(3)+….+n^(3)=36100 then find 1+2+3+..+n=.

    Text Solution

    |

  20. Find the excluded values, if any of the following expressions (t)/(t...

    Text Solution

    |