Home
Class 11
MATHS
Find the smallest set A such that Auu{1,...

Find the smallest set `A` such that `Auu{1,2}={1,2,3,5,9}dot`

Text Solution

Verified by Experts

Smallest set `Y` has three elements and largest set of `Y` has five elements, since RHS has five elements.
`:.`Smallest set of `Y` is `{3,5,9}`
and largest set `Y` is `{1,2,3,5,9}`
Promotional Banner

Topper's Solved these Questions

  • RELATIONS

    RD SHARMA|Exercise Solved Examples And Exercises|118 Videos

  • SINE AND COSINE FORMULAE AND THEIR APPLICATIONS

    RD SHARMA|Exercise Solved Examples And Exercises|118 Videos

Similar Questions

Explore conceptually related problems

Find the arithmetic mean of the smallest elements in all triplets of A={1,2,3,4,5,6}.

Write the smallest reflexive relation on set A={1,2,3,4}

Write the smallest reflexive relation on set A = {1, 2, 3, 4, 5}.

Write the smallest equivalence relation on the set A={1,\ 2,\ 3} .

If U={2,3,5,7,9} is the universal set and A={3,7},B={2,5,7,9}, then prove that: (A uu B)'=A'nn B'( ii) (A uu B)'=A'uu B'

If R is the smallest equivalence relation on the set {1, 2, 3, 4} such that {(1,2), (1,3)}sub R , then the number of elements in R is ______

Find the set of all real 'a' such that 5a^(2)-3a-2,a^(2)+a-2 and 2a^(2)+a-1 are the lenghts of the sides of a triangle?

If the sets A and B are given by A = {1, 2, 3, 4} B = {2, 4, 6, 8, 10} and the universal set U = {1,2,3,4,5,6,7,8,9,10} then

RD SHARMA-SETS-Solved Examples And Exercises
  1. The set (A uu B')uu(B nn C) is equal to

    Text Solution

    |

  2. If a in N such that a N={a x : x in N} . Describe the set 3Nnn7Ndot

    Text Solution

    |

  3. Find the smallest set A such that Auu{1,2}={1,2,3,5,9}dot

    Text Solution

    |

  4. Let A={1,2,4,5}\ B={2,3,5,6}C={4,5,6,7} . Verify the following identit...

    Text Solution

    |

  5. Let A={1,2,4,5}\ B={2,3,5,6}C={4,5,6,7} . Verify the following identit...

    Text Solution

    |

  6. Let A={1,2,4,5}\ B={2,3,5,6}C={4,5,6,7} . Verify the following identit...

    Text Solution

    |

  7. Let A={1,2,4,5}\ B={2,3,5,6}C={4,5,6,7} . Verify the following identit...

    Text Solution

    |

  8. Let A={1,2,4,5}\ B={2,3,5,6}C={4,5,6,7} . Verify the following identit...

    Text Solution

    |

  9. For any two sets A\ a n d\ B ,\ prove that BsubAuuB

    Text Solution

    |

  10. For any two sets A\ a n d\ B ,\ prove that AnnBsubA

    Text Solution

    |

  11. For any two sets A\ a n d\ B ,\ prove that AsubB=>AnnB=A

    Text Solution

    |

  12. Show that A nn B=A nn C need not imply B!=C

    Text Solution

    |

  13. Show that if A subB , then C" "-" "BsubC" "-" "A .

    Text Solution

    |

  14. Prove that Auu (Ann B)= A

    Text Solution

    |

  15. For any two sets, prove that:\ Ann(AuuB)=A

    Text Solution

    |

  16. Find sets A, B and C such that A nnB , B nnC and A nnC are nonempty ...

    Text Solution

    |

  17. For any two sets A\ a n d\ B , prove that AnnB=phi=>AsubeB^(prime)dot

    Text Solution

    |

  18. For any two sets of A and B, prove that: A^(prime)uuB=U=>AsubB

    Text Solution

    |

  19. Is it true that for any sets A and B, P (A) uuP (B) =P(Auu B) ? Just...

    Text Solution

    |

  20. If A and B are any two sets, then prove that (A nn B) uu (A-B)=A

    Text Solution

    |