Home
Class 11
MATHS
If A xx B = phi, then is it necessary th...

If `A xx B = phi`, then is it necessary that both A and B are empty?

Text Solution

AI Generated Solution

Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    MODERN PUBLICATION|Exercise Competition File|12 Videos
  • RELATIONS AND FUNCTIONS

    MODERN PUBLICATION|Exercise Chapter Test|11 Videos
  • RELATIONS AND FUNCTIONS

    MODERN PUBLICATION|Exercise Revision Exercise|18 Videos
  • PROBABILITY

    MODERN PUBLICATION|Exercise CHAPTER TEST|12 Videos
  • SEQUENCES AND SERIES

    MODERN PUBLICATION|Exercise CHAPTER TEST|12 Videos

Similar Questions

Explore conceptually related problems

If A-B=phi and B-C=B, then A nn C

If A - B =phi phi and B-A = phi then what can we conclude ?

Knowledge Check

  • A-B= phi iff

    A
    `A sub B`
    B
    `B sub A`
    C
    `A=B`
    D
    `A nn B =phi`
  • A cistern can be filled up in 4 h by an inlet A. An outlet B can empty the cistern in 8 h. If both A and B are opened simultaneously, then after how much time will the cistern get filled?

    A
    5h
    B
    7h
    C
    8h
    D
    6h
  • If A and B are two sets such that A xx B = phi , then which of the following must be true ?

    A
    `A = phi` and `B != phi`
    B
    `A = phi` and/or `B = phi`
    C
    `A != phi` and `B = phi`
    D
    `A = phi` and `B = phi`
  • Similar Questions

    Explore conceptually related problems

    If A nnn B'=phi then prove that A=A nn B and hence show that A sube B .

    If A nn C=phi, then prove that (A xx B)nn(C xx B)=phi

    Pipe 'A' can empty a full tank in 20 minutes. The diameter of another pipe 'B' is twice the diameter of pipe A. If both pipes A and B are joined to the tank, the time taken by both pipes to empty the tank is.

    Which of the following is the necessary material in first aid box? (a) Soap (b) Wound Gauze (c) Both (a) and (b)

    A pipe can empty a tank in 20 minutes. The second pipe B has a diameter twice as that of A. If both A & B pipe are atached to the tank how much time will be required to empty the tank?