Home
Class 10
MATHS
If f is a bijection from A to B , then n...

If f is a bijection from A to B , then n(A) =n(B)

Text Solution

Verified by Experts

The correct Answer is:
1
Promotional Banner

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    FULL MARKS|Exercise EXERCISE 1.1|7 Videos

  • RELATIONS AND FUNCTIONS

    FULL MARKS|Exercise EXERCISE 1.2|5 Videos

  • NUMBERS AND SEQUENCES

    FULL MARKS|Exercise ADDITIONAL QUESTION SOLVED (III. ANSWER THE FOLLOWING).|12 Videos

  • SAMPLE PAPER - 10 (UNSOLVED)

    FULL MARKS|Exercise PART - IV|2 Videos

Similar Questions

Explore conceptually related problems

There will be no onto function from A to B when n(A) =4, n(B) =5

There will be no one-one function from A to B when n(A) =4, n(B) =3

If f: A to B is a bijective function and if n(B)=7 , then n(A) is equal to

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

Let A and B be two sets each with a finite number of elements. Assume that there is an injective mapping from A to Band that there is an injective mapping from B to A Prove that there is a bijective mapping from A to B.

If A and B are two sets so that n(B-A) =2n (A-B) =4n(A cap B) and" if "n(A cup B)=14 , then find n(P(A)).

A relation R is defined from N to N as R={(ab,a+b): a,b in N} . Is R a function from N to N ? Justify your answer.

If A and B are two sets so that n(B- A) = 2n (A-B) = 4n (A cap B) and if n(A cup B)= 14 then find n(P(A))

If A and B are two sets so that n(B - A)= 3n(A-B) = 9n(AcapB) and if n(AcupB) = 26 , find n(p(A)).

FULL MARKS-RELATIONS AND FUNCTIONS -ADDITIONAL QUESTIONS SOLVED (ANSWER THE FOLLOWING QUESTIONS)
  1. If f is a bijection from A to B , then n(A) =n(B)

    Text Solution

    |

  2. If A = {2,3,5} and B = {1,4} then find (i) A xx B (ii) B xx A

    Text Solution

    |

  3. If A xx B = {(a,x)(a,y),(b,x),(b,y),(c,x)(c,y)} then find A and B

    Text Solution

    |

  4. Let A = {x in w / 3 lt x lt 7 }, B = {x in N/0 lt x lt 3 }, C = {x i...

    Text Solution

    |

  5. Let A = {10,11,12,13,14} , B = {0,1,2,3,5} and f(i) : A rarr B , I = ...

    Text Solution

    |

  6. If X = {1,2,3,4,5}, Y = {1,3,5,7,9} determins which of the following r...

    Text Solution

    |

  7. A = { -2,-1,1,2} and f = { ( x , (1)/(x) ) : x in A }. Write down th...

    Text Solution

    |

  8. Let A = { 5,6,7,8} , B = {-11,4,7,-10,-7-9,-13} and f = {(x,y): y = ...

    Text Solution

    |

  9. Let A={1, 2, 3, 4, 5}, B=N and f: A to B be defined by f(x)=x^(2). Fin...

    Text Solution

    |

  10. Find the domain and range of the following (i) f = {(1,2),(2,3),(3,...

    Text Solution

    |

  11. Given P = {-2,-1,0,1} Q= {1,-2,6,-3} R = {x,y/y = x^(2) - 3 x in P...

    Text Solution

    |

  12. Given f(x) = 3x - 2 , g(x) = 2x^(2) find (i) fog and (ii) gof what d...

    Text Solution

    |

  13. If f : R rarr R is defined by f (x) = ax + 3 and g : R rarr R is def...

    Text Solution

    |

  14. Given f(x) = 3 + x : g(x) = x^(2) h(x) = (1)/(x) find fo (goh)

    Text Solution

    |

  15. If f(x) = x + 3 where A = { 4,6,8,10} B = {7,9,11,13} and f : A rarr...

    Text Solution

    |

  16. Given A = {2,3,5}, B = {1,2,3} C = {2,5}, D = {2,3,5} check if (A ...

    Text Solution

    |

  17. Study the relation given below an set builder form. Represent each of ...

    Text Solution

    |

  18. State whether the following graphs represent a founction. Give reason ...

    Text Solution

    |

  19. Let A={6,9,15,18,21}, B={1,2,4,5,6} and f : A to B be defined by f...

    Text Solution

    |

  20. Let A = {4,6,8,10} and B= {3,4,5,6,7}. If f : A rarr B is defined by...

    Text Solution

    |

  21. A function f [-3, 7] rarr R is defined as follows f(x) = {{: (4x^(2) -...

    Text Solution

    |