Home
Class 12
MATHS
Let * be a binary operation of N given b...

Let * be a binary operation of `N` given by a `a`*`b=L C M (a , b)` for all `a , b` in N. Find `5`*`7`

Text Solution

Verified by Experts

Let * be a binary operation of `N`
`a`*`b`=L.C.M of `a` and `b`.
Now here `a=5,b=7`
`a`*`b=5`*`7`=LCM of `5`&`7=35`
Hence, The value of `5`*`7=35` .
Promotional Banner

Topper's Solved these Questions

  • ARITHMETIC PROGRESSION

    RD SHARMA|Exercise EXAMPLE|5 Videos

  • BINOMIAL DISTRIBUTION

    RD SHARMA|Exercise Solved Examples And Exercises|141 Videos

Similar Questions

Explore conceptually related problems

Let * be a binary operation of N given by a a*b=LCM(a,b) for all a,b in N. Find 5*7.

Let * be a binary operation on N given by a*b=LdotCdotM(a , b) for all a , b in N . (i) Find 5*7, 20*16 (ii) Is * commutative?

Let '**' be a binary operation on N given by: a**b=LCM (a,b) for all a, b inN . Find 6**7

Let '**' be a binary operation on N given by: a**b=LCM (a,b) for all a, b inN . Find 20**16

Let ^(prime*) be a binary operation on N given by a*b=L.C.M.(a,b) for all a,b in N. Find 5*7,20*16 (ii) Is* commutative? Is* associative? Find the identity element in N Which element of N are invertible? Find them.

Let * be a binary operation on N given by a*b=HFC(a,b) for all a,b in N, then find :12*4,18*24,7*5

Let ^(*) be a binary operation on N defined by a*b=1.*ma,b for all a,b in N. Find 2*4,3*5,1*6

Let * be a binary operation on N given by a*b =Lcm of a and b find the value of 20*16

Let * be a binary operation defined by a*b=3a+4b-2. Find 4^(*)5

Let * be a binary operation on N given by a*b=HCF(a,b),quad a,b in N. Write the value of 22*4 .

RD SHARMA-BINARY OPERATIONS-Solved Examples And Exercises
  1. Let S be the set of all rational numbers of the form m/n , where m i...

    Text Solution

    |

  2. The binary operation**: RxxR->R is defined as a**b=2a+b. Find (2**3)**...

    Text Solution

    |

  3. Let * be a binary operation of N given by a a*b=L C M (a , b) for all ...

    Text Solution

    |

  4. Let * be a binary operation on Q-{0} defined by a*b=(a b)/2 for all...

    Text Solution

    |

  5. Let A be a set having more than one element. Let * be a binary opera...

    Text Solution

    |

  6. If the operation * is defined on the set Q of all rational numbers ...

    Text Solution

    |

  7. Examine whether the binary operation ** defined on R by a**b=a b+1 i...

    Text Solution

    |

  8. Let A be a set having more than one element. Let * be a binary opera...

    Text Solution

    |

  9. Discuss the commutativity and associativity of the binary operation * ...

    Text Solution

    |

  10. Discuss the commutativity and associativity of the binary operation * ...

    Text Solution

    |

  11. Discuss the commutativity and associativity of binary operation * d...

    Text Solution

    |

  12. Let * be a binary operation on N, the set of natural numbers, defined ...

    Text Solution

    |

  13. Let * be a binary operation on N given by a*b=H F C(a ,\ b) for all ...

    Text Solution

    |

  14. Let ** be the binary operation on N defined by a" "**" "b" "=" "Hd...

    Text Solution

    |

  15. Consider the binary operations*: RxxR->R and o: RxxR->R defined as a...

    Text Solution

    |

  16. Let A be a non-empty set and S be the set of all functions from A t...

    Text Solution

    |

  17. Let A=NxNa n d^(prime)*' be a binaryoperation on A defined by (a , b)*...

    Text Solution

    |

  18. Let A be a set having more than one element. Let * be a binary oper...

    Text Solution

    |

  19. Let * be a binary operation on N defined by a*b=1. cdotmdot(a ,\ b)...

    Text Solution

    |

  20. Let '*' be a binary operation on N given by a*b=LdotCdotMdot(a , b) fo...

    Text Solution

    |