Home
Class 11
MATHS
Let X = { 1,2,3,4}, Y = {a,b,c,d} and f=...

Let X = { 1,2,3,4}, Y = {a,b,c,d} and f={(1,a), (4,b), (2,c),(3,d),(2,d)}. Then f is

A

An one-to-one function

B

An onto function

C

An function which is not one-to one

D

Not a function

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • SETS, RELATIONS AND FUNCTIONS

    FULL MARKS|Exercise Exercise -1.4|4 Videos
  • SAMPLEPAPER - 15 (UNSOLVED)

    FULL MARKS|Exercise Part - IV (IV. Answer all the questions.)|7 Videos
  • SOLVED PAPER 10

    FULL MARKS|Exercise PART-IV|8 Videos

Similar Questions

Explore conceptually related problems

Find the odd man out: Let X - {1,2,3,4), Y = {a,b,c,d,e)

Let A ={ 1,2,3,4,} and B =N. Let f: A to B be defined by f(x) = x^(2) then. find the range of f

Given A = {2,4,5 }, B = {2, 5}, C = {3, 4} and D = {1, 3, 5} , check if (A ∩ C) × (B ∩ D) = (A × B) ∩ (C × D) is true?

Let A = { 1,2,3,4} and B =N .Let f : Ato B be defined by f (x) =x^(2) +1 then the range of f is :

Let f(x) and g(x) be bijective functions where f:{a,b,c,d} to {1,2,3,4} " and " g :{3,4,5,6} to {w,x,y,z}, respectively. Then, find the number of elements in the range set of g(f(x)).

Solve a,b,c,d if [(a+2b,3a-b,4),(2c+d,3,3c-d)] = [(3,2,4),(7,3,3)]

Let A={1, 2, 3, 4} and B=N , Let f:A to B be defined by f(x)=x^(3) then, Find the range of f.

Let f(x)a n dg(x) be bijective functions where f:{1, b , c , d}vec{1,2,3,4}a n dg:{3,4,5,6}vec{2, x , y , z}, respectively. Then, find the number of elements in the range of g"("f(x)"}"dot

Let A = {x_1, x_2, x_3, ,x_7},B={y_1, y_2, y_3} The total number of functions f: A->B that are onto and there are exactly three element x in A such that f(x)=y_2 is equal to a. 490 b. 510 c. 630 d. none of these

Let E={1,2,3,4} and F={1,2} . Then, the number of onto function form E to F is (A) 14 (B) 16 (C) 12 (D) 8

FULL MARKS-SETS, RELATIONS AND FUNCTIONS-Exercise -1.5
  1. Let A and B be subsets of the universal set NN, the set of natural num...

    Text Solution

    |

  2. The number of students who take both the subjects Mathematics and Chem...

    Text Solution

    |

  3. If n[(AxxB)nn(Bxxc)=3,and n(BnnC)=2 then n(A) is ........................

    Text Solution

    |

  4. If n (A) = 2 and n (B cupC) =3 then n [(AxxB) cup (AxxC)] is

    Text Solution

    |

  5. If two sets A and B have 17 elements in common, then the number of ele...

    Text Solution

    |

  6. For non-empty sets A and B, if A sub B "then" (AxxB ) cap (BxxA) is eq...

    Text Solution

    |

  7. The number of relations on a set containing 3 elements is

    Text Solution

    |

  8. Let R be the universal relation on a set X with more than one element....

    Text Solution

    |

  9. Let X = { 1,2,3,4 } and R = { (1,1), (1,2),(1,3),(2,2), (3,3),(2,1),(3...

    Text Solution

    |

  10. The range of the function (1)/(1-2 sinx ) is

    Text Solution

    |

  11. The range of the function f(x) = ||x| -x|,x in RR is

    Text Solution

    |

  12. The rule f(x) = x^(2) is a bijection if the domain and the co-domain a...

    Text Solution

    |

  13. The number of relations form a set containing melements to a set conta...

    Text Solution

    |

  14. The function f : [0,2pi] to 1 [-1,1] defined by f(x) = sin x is

    Text Solution

    |

  15. If the function f : [-3,3] to S defined by f(x) = x^(2) is onto, then ...

    Text Solution

    |

  16. Let X = { 1,2,3,4}, Y = {a,b,c,d} and f={(1,a), (4,b), (2,c),(3,d),(2,...

    Text Solution

    |

  17. The inverse of f(x) = {(x,if,xlt1),(x^(2),if,1lt=xlt=4"is"),(8sqrt(x),...

    Text Solution

    |

  18. Lett f: R rarr R be defined by f(x)=1-|x|. Then the range of f is

    Text Solution

    |

  19. The function f: R rarr R is defined by f(x)= sin x+ cos x is ............

    Text Solution

    |

  20. The function R rarr R is defined by f(x)=cosx is .............

    Text Solution

    |