Home
Class 12
MATHS
if ** is the binary operation on N given...

if `**` is the binary operation on N given by `a**b`= L. C. M of a and b. Find `20**16`. Is `**` Associative.

Promotional Banner

Topper's Solved these Questions

  • QUESTION PAPER 2020

    SHARAM PUBLICATION|Exercise EXERCISE|47 Videos
  • THREE DIMENSIONAL GEOMETRY

    SHARAM PUBLICATION|Exercise EXAMPLE|96 Videos

Similar Questions

Explore conceptually related problems

if ** is the binary operation on N given by a**b = L. C. M of a and b. Find 20**16 . Is ** Commutative.

Let * be the binary operation on N given by a*b = LCM of a and b. Find (i) 5*7,20*16 (ii) Is* commutative? (iii) Is * associative? (iv) Find the identity of* in N. (v) Which elements of N are invertible for the operation ?

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

Let * be the binary operation on N defined by a* b = HCF of a and b. Is * commutative? Is * associative? Does there exist identity for this binary operation on N?

Let * be a binary operation on N given by a**b=LCM(a, b) for all a, b in N . (i) Is * commutative. (ii) Is * associative.

Let be a binary operation on N given by a *b = HCF (a,b) , a,b, in N . Find n12 *4 and 7 *5.

Let the binary operation on Q defined as a * b = 2a + b - ab , find 3*4 .

Let * is a binary operation defined by a * b = 3a + 4b - 2 , find 4*5 .

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

Let * be a binary operation on N given by a**b=GCD (a, b) for a, b in N . Check the commutativity and associativity of * on N.

SHARAM PUBLICATION-RELATIONS AND FUNCTIONS-EXAMPLE
  1. If ** is a binary operation on set Q of rational numbers such tht a**b...

    Text Solution

    |

  2. if ** is the binary operation on N given by a**b= L. C. M of a and b. ...

    Text Solution

    |

  3. if ** is the binary operation on N given by a**b= L. C. M of a and b. ...

    Text Solution

    |

  4. Prove that f:X to Y is injective iff for all subsets A, B of X, f (A c...

    Text Solution

    |

  5. Prove that f:X rarr Y is injective iff f^(-1) (f(A)) = "A for all" A s...

    Text Solution

    |

  6. Prove that f:X rarr Y is surjective iff for all B sube Y, f(f^(-1)(B))...

    Text Solution

    |

  7. Prove that for any f:X rarr Y , f o idx = f =idY of.

    Text Solution

    |

  8. Let f: X rarr Y If there exists a map g:Y rarr X such that gof = id...

    Text Solution

    |

  9. Let f:XrarrY. If there exists a map g:YrarrX such that g of=idxand fo ...

    Text Solution

    |

  10. If ff(x)=cos[pi^2]x+cos[-pi^2]x where [x] stands for the greatest inte...

    Text Solution

    |

  11. If f:RrarrR,g :RrarrR and h : RrarrR such that f(x)=x^2, g(x)= tan x a...

    Text Solution

    |

  12. If p is a prime and ab-=0 (mod p) then show that either a=0 (mod p) or...

    Text Solution

    |

  13. Prove that the relation R on the set Z of all integers defined by R={(...

    Text Solution

    |

  14. Let n be positive integer and a function f be defined as f(n)={(0 , wh...

    Text Solution

    |

  15. If f:RrarrR defined by f(x)=5x-8 for all x inR, then show that f is in...

    Text Solution

    |

  16. Show that the inverse of a bijective function is unique.

    Text Solution

    |

  17. Show that the inverse of a bijective is also a bijection.

    Text Solution

    |

  18. Let f={(1,a),(2,b),(3,c),(4,d)} and g={(a,x),(b,x),(c,y),(d,x)} Determ...

    Text Solution

    |

  19. Prove that the greatest integer function f:R rarr R, given by f(x) = [...

    Text Solution

    |

  20. Let A and B be sets. Show that f : A xx B rarr B xx A such that f (...

    Text Solution

    |