Home
Class 12
MATHS
Suppose A and B are two sets. If the pow...

Suppose A and B are two sets. If the power set of A contains 64 elements more than the power set of B, then number of elements in A is …………

Text Solution

Verified by Experts

The correct Answer is:
7
Promotional Banner

Topper's Solved these Questions

  • SETS, RELATIONS AND FUNCTIONS

    MCGROW HILL PUBLICATION|Exercise QUESTION FROM PREVIOUS YEARS AIEEE/JEE MAIN PAPERS|50 Videos

  • SETS, RELATIONS AND FUNCTIONS

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEAR.S B-ARCHITECTURE ENTRANCE EXAMINATION PAPERS|19 Videos

  • SETS, RELATIONS AND FUNCTIONS

    MCGROW HILL PUBLICATION|Exercise EXERCISE ( LEVEL 2 (SINGLE CORRECT ANSWER TYPE QUESTIONS ))|25 Videos

  • QUADRATIC EQUATIONS

    MCGROW HILL PUBLICATION|Exercise Questions from previous Years. B - architecture entrance examination papers|16 Videos

  • STATISTICS

    MCGROW HILL PUBLICATION|Exercise QUESTION FROM PREVIOUS YEARS. B-ARCHITECTURE ENTRANCE EXAMINATION PAPERS|13 Videos

Similar Questions

Explore conceptually related problems

The number of elements of the power set of a set containing n elements is

If the set A has 3 elements and the set B={3,4,5} ,then find the number of elements in (A xx B)

Find the power set of the set {a,b,c}.

If the set A contains 5 elements, then the number of elements in the power set P(A) is equal to

If the number of elements in the power set of set A is 128 then find the number of elements in the set A .

A set constant n elements. The power set of this set contains.

If a non-empty set A contains n elements, then its power set contains how many elements ?

MCGROW HILL PUBLICATION-SETS, RELATIONS AND FUNCTIONS-EXERCISE (NUMERICAL ANSWER TYPE QUESTIONS )
  1. Let f(x) = tan^(-1) (sqrt(x+7)) + sec^(-1)(1/(sqrt(x(x+7)+1))), then t...

    Text Solution

    |

  2. Let f : R to R be defined by f(x) = ax + b AA x in R Where a,b in ...

    Text Solution

    |

  3. Suppose A and B are two sets. If the power set of A contains 64 elemen...

    Text Solution

    |

  4. Let a, b, c in R. If f (x) = ax^(2) + bx + c is such that a + b + c = ...

    Text Solution

    |

  5. Let f(x) = cos (ln x) , x gt 0. If f(xy) + f(x/y) = kf(x)f(y) AA x, ...

    Text Solution

    |

  6. Suppose A and B are two finite sets. If the number of relations that c...

    Text Solution

    |

  7. A class has 175 students. The following data shows the number of stude...

    Text Solution

    |

  8. Let f(x) = sin(ln x) AA x gt 0. Suppose f(e^(kpix)) = f(x) AA x gt 0, ...

    Text Solution

    |

  9. The function f satisfies the functional equation 3f(x)+2f((x+59)/(x1))...

    Text Solution

    |

  10. Let [x] greatest integer le x. Define f : R to R by f(x) = cos(5x) cos...

    Text Solution

    |

  11. Let A and B be two finite sets such that n(A) = 20, n(B) = 28 and n(A ...

    Text Solution

    |

  12. Le A = {1,2, 3,4, 5}. Let {1,2,3} and {4, 5} be two equivalence classe...

    Text Solution

    |

  13. Let A = {a, b, c,d). If an equivalence relation R on A has exactly one...

    Text Solution

    |

  14. Let f(x) = cos^(2)x + cos^(2)(x + pi//3) + sin x sin (x + pi//3) and ...

    Text Solution

    |

  15. Let f be an even function defined on R. Suppose f is defined on [0,4] ...

    Text Solution

    |

  16. Let f : R-{1} to R be defined by f(x) =(1+x)/(1-x) AA x in R -{1} th...

    Text Solution

    |

  17. Let f: [0, infty) to R be such that f(16/sqrt(1+sqrt(x))) = x AA x g...

    Text Solution

    |

  18. Let f: N to R be a function satisfying the condition f(1) + f(2)……………....

    Text Solution

    |

  19. The number of integers lying in the range of f(x) = 15/(12-5 sinx), x ...

    Text Solution

    |

  20. Let P be a polynomial satisfying the equation P(x) P(1/x) = P(x) + P...

    Text Solution

    |