Home
Class 8
MATHS
If a,b in P and a * b, in P. Then P is u...

If `a,b in P` and `a * b, in P`. Then P is ________under the operation `*`.

A

Associative

B

Commutative

C

Closed

D

Distributive

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • REAL NUMBERS AND LCM AND HCF

    PEARSON IIT JEE FOUNDATION|Exercise Level -2|18 Videos
  • REAL NUMBERS AND LCM AND HCF

    PEARSON IIT JEE FOUNDATION|Exercise level -3|1 Videos
  • REAL NUMBERS AND LCM AND HCF

    PEARSON IIT JEE FOUNDATION|Exercise Essay type questions|5 Videos
  • RATIO, PROPORTION AND VARIATION

    PEARSON IIT JEE FOUNDATION|Exercise CONCEPT APPLICATION|60 Videos
  • SETS

    PEARSON IIT JEE FOUNDATION|Exercise CONCEPT APPLICATION (LEVEL 3) |8 Videos

Similar Questions

Explore conceptually related problems

Given a non -empty set X, let *:" "P(X)" "xx" "P(X) ->P(X) be defined as A" *"B" "=" "(A" "-" "B) uu(B" "-" "A), AA""""A ," "B in P(X) . Show that the empty set varphi is the identity for the operation * and all the elements A of P(A) are invertible with A^-1=A

Let P be the set of all subsets of a given set X. Show that uu:" "P" "xx" "P->P given by (A ," "B) ->Auu B and nn:" "PxxP ->P given by (A ," "B)->AnnB are binary operations on the set P.

If the events A and B are independent then P(AnnB) is equal to P(A)+P(B) b. P(A)-P(B) c. P(A)P(B) d. (P(A))/(P(B))

Let X be a nonempty set and *be a binary operation on P(X), the power set of X defined by A*B=A nn B for all A,B in P(X).(

(a) Given two independent events A, B such that P(A)=0.3, P(B)=0.6 . Find : (i) P (A and B) (ii) P (A and not B) (iii) P (A or B) (iv) P (neither A nor B). (b) If P(A)=0.2,P(A uu B)=0.6 , find P (B).

If a,b, p in N and p is prime, then (a +b)^(p) - a^(P) -b^(p) is divisible by

If A and B are two independent events, then P( A and B)=P(A) cdot P(B)

If P(A)=p and P(B)=q then

If P(A)=0.6,P(B)=0.7 and P(A uu B)=0.9 , then (i) P(A//B) =_______ (ii) P(B//A) =________

PEARSON IIT JEE FOUNDATION-REAL NUMBERS AND LCM AND HCF -Concept application Level -1
  1. Which of the following statements are / is true ?

    Text Solution

    |

  2. The absolute value of 12xx(-3)+12-15 is

    Text Solution

    |

  3. In the set of rational numbers, multiplicative identify is and the ad...

    Text Solution

    |

  4. If a,b in P and a * b, in P. Then P is under the operation *.

    Text Solution

    |

  5. What is the number in the units place of (763)^84 ?

    Text Solution

    |

  6. The HCF of all the natural numbers from 200 to 478 is

    Text Solution

    |

  7. Find the greatest number that divides 59 and 54 leaving remainders 3 a...

    Text Solution

    |

  8. Find the HCF of the first 100 natural numbers.

    Text Solution

    |

  9. Find the units digit in the expansion of (44)^44+(55)^55+(88)^88.

    Text Solution

    |

  10. Find the least number exactly divisible by 36 and 24.

    Text Solution

    |

  11. Find the digit in the units place of (676)^99.

    Text Solution

    |

  12. The LCM of (5)/(12),(6)/(5),(3)/(2)and (4)/(17) is

    Text Solution

    |

  13. Find the number of factors of 1080.

    Text Solution

    |

  14. If p,q and r are prime numbers such that r=q+2 and q=p+2, then the num...

    Text Solution

    |

  15. If a in N and 1 le a le 20, then find the number of prime numbers in t...

    Text Solution

    |

  16. The GCD of two numbers is 128 and their LCM is 256. Then their product...

    Text Solution

    |

  17. The absolute value of 25-(25+10)+25div125xx25 is

    Text Solution

    |

  18. Find the LCM of 12, 48 and 36. The following are the sequential orde...

    Text Solution

    |

  19. Find the GCD of the fractions (3)/(5),(4)/(7)and (7)/(10). The followi...

    Text Solution

    |

  20. Find the sum of 3.overline2 and 5.overline4.

    Text Solution

    |