Home
Class 11
MATHS
Let A, B, and C be the sets such that A ...

Let `A, B, and C` be the sets such that `A ∪ B = A ∪ C and A ∩ B = A ∩ C`. Show that `B = C`.

Promotional Banner

Topper's Solved these Questions

  • Jodhpur Park Boys School, Question Paper

    UNITED BOOK HOUSE|Exercise Exercise |29 Videos
  • KALIDHAN INSTITUTION

    UNITED BOOK HOUSE|Exercise EXERCISE|49 Videos

Similar Questions

Explore conceptually related problems

If A,B and C are three sets such that A cap B = A cap C and A cup B = A cup C then

Show that A ∩ B = A ∩ C need not imply B = C .

If A,B,C are three non empty sets such that A cupB=A cup C and Acap B=A cap C then prove that B=C

Show that if A ⊂ B , then C – B ⊂ C – A .

Let A, B and C be three sets. If A ∈ B and B ⊂ C , is it true that A ⊂ C ?. If not, give an example.

Find sets A, B and C such that A ∩ B, B ∩ C and A ∩ C are non-empty sets and A ∩ B ∩ C = φ .

If A,B,C be any three sets then A xx (B nn C) is equal to-

In three sets, A,B, C, show that (A cap B)' = A' cup B' .

For three sets A,B and C,if Ann C =B nn C and A uuC= B uu C , then prove that A=B

Show that A sub B then C- B sub C- A

UNITED BOOK HOUSE-JODHPUR PARK BOYS'S SCHOOL-EXERCISE
  1. The area boundede by the curves y=|x|-1and y=-|x|+1 is

    Text Solution

    |

  2. A ray of light along x+sqrt3y=sqrt3 gets reflected when reaching x-axi...

    Text Solution

    |

  3. Let A, B, and C be the sets such that A ∪ B = A ∪ C and A ∩ B = A ∩ C....

    Text Solution

    |

  4. Find the domain and range of the relation p defined by p={(a,b):b=|a...

    Text Solution

    |

  5. If x be real show that costhetacannot be equal to x+1/x.

    Text Solution

    |

  6. If costheta=tan^2((theta)/2)show that costheta=sqrt2-1

    Text Solution

    |

  7. If tan15^@=x.then show that x^2+2sqrt3x-1=0

    Text Solution

    |

  8. If omegabe an imaginaryb cube root of unity,then prove that,1/(1+2omeg...

    Text Solution

    |

  9. Show that the middle term in the expansion of (x-1/x)^(2n)is (1.3.5.7....

    Text Solution

    |

  10. Find the sum of all factors of the number 3645.

    Text Solution

    |

  11. For any two positive numbers a and b,prove that AMgeGM

    Text Solution

    |

  12. Find the vaue of 9^(1/3)9^(1/9)9^(1/27)...oo

    Text Solution

    |

  13. Prove that the area of a triangle is invariant under the translation o...

    Text Solution

    |

  14. If t1and t2 are the roots of the equation t^2+lambdat+1=0,where lambda...

    Text Solution

    |

  15. Prove that Axx(BcupC)=(AxxB)cup(AxxC)

    Text Solution

    |

  16. Find the distance from the eye at which a coin must be placed so as ju...

    Text Solution

    |

  17. If cos(alpha+beta)=4/5.sin(alpha-beta)=5/13and alpha,betalie between 0...

    Text Solution

    |

  18. Prove that cos((2pi)/7)+cos((4pi)/7)+cos((6pi)/7)=-1/2

    Text Solution

    |

  19. Solve :6x^2-(5+3i)x+11i-3=0in the complex plane C.

    Text Solution

    |

  20. Find the sum of first n terms of the series:1/(1+1^2+1^4)+2/(1+2^2+2^4...

    Text Solution

    |