Home
Class 11
MATHS
For any two sets A and B, Prove that A c...

For any two sets A and B, Prove that `A cup (Acap B) = A.`

Promotional Banner

Topper's Solved these Questions

  • MODEL QUESTION PAPERS-SET 4

    UNITED BOOK HOUSE|Exercise EXERCISE|47 Videos

  • MODEL QUESTION PAPERS-SET 6

    UNITED BOOK HOUSE|Exercise EXERCISE|47 Videos

Similar Questions

Explore conceptually related problems

For any two sets A and B, prove that P(A cap B) = P(A) capP(B) where P(A) is the power set of A.

For any two sets A and B, prove that P(A) cup P(B) sube P(A cup B)

For any two sets A and B,prove that Bsube(A-B)^c

For any two events A and B prove that, P(A cup B) le P(A) + P(B)

For any two events A and B prove that P(A cup B) le P{A) + P (B) .

For any two events A and b prove that, P(A) ge P(A cap B) ge P(A) + P(B) - 1

For any two events A and b prove that, P(A cap B ) le P(A) le P(A cup B ) le P(A) + P(B)

If any two sets A and B, (A cup B)' cup(A'cup B) =

For any three sets A,B and C, prove that, A-(BcapC) = (A-B) cup(A-C).

Use logical method to prove the following : For any two sets A and B prove that A - B = phi iff A subseteq B

UNITED BOOK HOUSE-MODEL QUESTION PAPERS-SET 5-EXERCISE
  1. If the odds in favour of an event are 7 :1, then the probability of oc...

    Text Solution

    |

  2. Mode of .2, 7, 5, 3, 7, 1, 6, 9, 7, 3, 6, 3 is

    Text Solution

    |

  3. For any two sets A and B, Prove that A cup (Acap B) = A.

    Text Solution

    |

  4. Show that f(x) = log [x + sqrt(1 + x^2)] is a odd function.

    Text Solution

    |

  5. If tan 26^@ and tan 19^@ are the roots of the equation ax^2 - bx -f c ...

    Text Solution

    |

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

    Text Solution

    |

  7. In a quadratic equation of the form ax^2 + bx + c = 6 the co-efficient...

    Text Solution

    |

  8. Show that. sqrt i+sqrt-i=sqrt2

    Text Solution

    |

  9. Prove that by using the principle of mathematical induction for all n...

    Text Solution

    |

  10. In a n sided polygon joining by straight line all the angular points. ...

    Text Solution

    |

  11. Find the equation of a straight line passes through (-3, 10) and the l...

    Text Solution

    |

  12. Find the ratio in which the straight line 3x + y = 9 divides the line ...

    Text Solution

    |

  13. Prove that: lim(xrarr0)tanx/x=1

    Text Solution

    |

  14. If.y = tan^-1 (sec x + tan x), show that ,dy/dx=1/2 .

    Text Solution

    |

  15. A and B are two independent event. It P(A) = 1/2 and P(A cup B)=2/3,fi...

    Text Solution

    |

  16. Find the mean deviation with respect ' to mean value :18,22,33,42,53,...

    Text Solution

    |

  17. Find the HCF of 15, 40, 60 with the help of set theory

    Text Solution

    |

  18. If 13theta=pi,show that costhetacos2theta cos3theta cos4theta cos5thet...

    Text Solution

    |

  19. Solve:sinx-sin2x=cos2x-cosx

    Text Solution

    |

  20. Show that by mathematical- induction :x^3+(x+1)^3+(x+2)^3is divisible ...

    Text Solution

    |