Home
Class 11
MATHS
State whether each of the following stat...

State whether each of the following statements are true or false. If the statement is false re-write the given statement correctly: `(i)` If `p={m , n}a n d\ Q={n , m},\ t h e n\ PxxQ={(m , n),\ (n , m)}` `(ii)` If A and B are non empty sets then `AxxB` is a non empty set of ordered pairs `(x , y)` such that `x in B\ a n d\ y in Adot` `(iii)`If `A={1,2},\ B={3,4},\ t h e n\ Axx(Bnnvarphi)=varphidot`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • QUADRATIC EQUATIONS

    RD SHARMA ENGLISH|Exercise All Questions|85 Videos

  • SETS

    RD SHARMA ENGLISH|Exercise All Questions|228 Videos

Similar Questions

Explore conceptually related problems

State whether each of the following statements are true or false. If the statement is false, rewrite the given statement correctly.(i) If P = {m , n} " and " Q = {n , m}, " then " P xxQ = {(m , n), (n , m)} .

If A and B are non-empty sets, then AxxB is a non-empty set of ordered pairs (x,y) such that x inB and yinA .

Find whether the following statements are true or false. If the statement is false, then write its correct statement: (i) If P={m,n} and Q={n,m},then PxxQ={(m,n),(n,m)} . (ii) If A and B are non-empty sets, then AxxB is a non-empty set of the ordered pairs (x,y) such that x in A and y in B .

If P={m,n) and Q={n,m} , then PxxQ={(m,n),(n,m)}

In each of the following determine whether the statement is true or false. If it is true prove it . if it is false, give an example: If x in A\ a n d\ A in B ,\ t h e n\ x in Bdot

State whether each of the following sets is a finite set or an infinite set: {x : x=3n-2, n in W, n le 8}

In each of the following determine whether the statement is true or false. If it is true prove it . if it is false, give an example: If AsubB\ a n d\ x !in B ,\ t h e n\ x !in Adot

In each of the following determine whether the statement is true or false. If it is true prove it . if it is false, give an example: If A ⊄ B \ a n d\ B⊄ C ,\ t h e n\ A ⊄ Cdot

In each of the following determine whether the statement is true or false. If it is true prove it . if it is false, give an example: If AsubB\ a n d\ B in C ,\ t h e n\ A in Cdot

Write which of the following statements are true? Justify your answer: The sets P={a}a n d\ B={{a}} are equal.

RD SHARMA ENGLISH-RELATIONS-All Questions
  1. Let A and B be two sets such that n(A)=3\ a n d\ n(B)=2. if\ (x ,1)...

    Text Solution

    |

  2. Let A={1,2,3,4} and\ R={(a , b): a in A , b in A ,\ a divides b} . W...

    Text Solution

    |

  3. State whether each of the following statements are true or false. If t...

    Text Solution

    |

  4. If A={1,2}, form the set AxxAxxAdot

    Text Solution

    |

  5. If A={1,2,4}a n d\ B={1,2,3} , represent following sets graphically- A...

    Text Solution

    |

  6. If A={1,2,4}a n d\ B={1,2,3} , represent following sets graphically- B...

    Text Solution

    |

  7. If A={1,2,4}a n d\ B={1,2,3} , represent following sets graphically- A...

    Text Solution

    |

  8. If A={1,2,4}a n d\ B={1,2,3} , represent following sets graphically- B...

    Text Solution

    |

  9. If A={2,3},\ B={4,5},\ C={5,6},\ \ find Axx(BuuC),\ Axx(BnnC),\ (A...

    Text Solution

    |

  10. Let A={1,2},\ B={1,2,3,4},\ C={5,6}a n d\ D={5,6,7,8} . Verity that: A...

    Text Solution

    |

  11. Let A={1,2},\ B={1,2,3,4},\ C={5,6}a n d\ D={5,6,7,8} . Verity that: A...

    Text Solution

    |

  12. If A={1,2,3},\ B={1,2,3,4},\ C={4,5,6},\ find : Axx(BnnC)

    Text Solution

    |

  13. If A={1,2,3},\ B={1,2,3,4},\ C={4,5,6},\ fin d\ :(AxxB)nn(AxxC)

    Text Solution

    |

  14. If A={1,2,3},\ B={1,2,3,4},\ C={4,5,6},\ f i n d \ : Axx(B∩C)

    Text Solution

    |

  15. If A={1,2,3},\ B={1,2,3,4},\ C={4,5,6},\ find :(AxxB)nn(AxxC)

    Text Solution

    |

  16. Let A={1,2,3},\ B={a , b , c , d} be two sets and let R={(1, a),\ (1, ...

    Text Solution

    |

  17. If A={a , b ,\ c , d},\ B={p , q , r , s} than is the following relati...

    Text Solution

    |

  18. If A={a , b ,\ c , d},\ B={p , q , r , s} than Is the following relati...

    Text Solution

    |

  19. If A={a , b ,\ c , d},\ B={p , q , r , s} than Is the following relati...

    Text Solution

    |

  20. If A={a , b ,\ c , d},\ B={p , q , r , s} than is the following relati...

    Text Solution

    |