Home
Class 12
MATHS
Check **:RxxRrarrR given by : a**brarr...

Check `**:RxxRrarrR` given by :
`a**brarra+3b^(2)` is commutative.

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    MODERN PUBLICATION|Exercise EXERCISE 1 (e) (Long Answer Type Questions (I))|8 Videos
  • RELATIONS AND FUNCTIONS

    MODERN PUBLICATION|Exercise Objective Type Questions (A. Multiple Choice Questions)|30 Videos
  • RELATIONS AND FUNCTIONS

    MODERN PUBLICATION|Exercise EXERCISE 1 (d) (Long Answer Type Questions (I))|9 Videos
  • PROBABILITY

    MODERN PUBLICATION|Exercise MOCK TEST SECTION D|6 Videos
  • THREE DIMENSIONAL GEOMETRY

    MODERN PUBLICATION|Exercise CHAPTER TEST 11|11 Videos

Similar Questions

Explore conceptually related problems

Show that **.RxxRrarrR given by a**brarra+2b is not associative.

Show that quad *:R xx R rarr R defined by a*b=a+2b is not commutative.

Show that the binary operation '**' defined from NxxNrarrN and given by a**b=2a+3b is not commutative.

Prove that **: R xx R to R defined as a ** b =a+2ab is not commutative .

Let * RxxRrarrR be a binary operation given by a*b=a+4b^(2) Then compute (-5)*(2*0)

Theorem 3( Commutative laws)

Show that the binary operation * on Z defined by a*b=3a+7b is not commutative.

The binary operation **:RxxRrarrR is defined as: a**b=2a+b . Find (2**3)**5 .

Let '**' be a binary operation on Q defined by : a**b=(2ab)/(3) . Show that '**' is commutative as well as associative.

MODERN PUBLICATION-RELATIONS AND FUNCTIONS-EXERCISE 1 (e) (Short Answer Type Questions)
  1. If the binary operation ** on the set Z of integers is defined by a**b...

    Text Solution

    |

  2. Check **:RxxRrarrR given by : a**brarra+3b^(2) is commutative.

    Text Solution

    |

  3. Let 'x' be an operation defined as x:RxxRrarrR Such that a**b=2a+b,a,b...

    Text Solution

    |

  4. Let **:NxxNrarrN be an operation defined as a**b=a+ab,AAa,binN Check...

    Text Solution

    |

  5. Let P be the set of all subsets of a given set X. Show that uu: P xx ...

    Text Solution

    |

  6. Determine whether or not each of the definition of '**' given below gi...

    Text Solution

    |

  7. Show that the binary operation '**' defined from NxxNrarrN and given ...

    Text Solution

    |

  8. For each binary operation * defined below, determine whether * is com...

    Text Solution

    |

  9. For each binary operation '**' defined below, determine whether '**' i...

    Text Solution

    |

  10. For each binary operation '**' defined below, determine whether '**' i...

    Text Solution

    |

  11. For each binary operation '**' defined below, determine whether '**' i...

    Text Solution

    |

  12. For each binary operation '**' defined below, determine whether '**' i...

    Text Solution

    |

  13. For each binary operation '**' defined below, determine whether '**' i...

    Text Solution

    |

  14. For each binary operation '**' defined below, determine whether '**' i...

    Text Solution

    |

  15. Is *defined on the set {1, 2, 3, 4, 5} b y a * b = LdotCdotMdotof a a...

    Text Solution

    |

  16. Let *be the binary operation on N given by a*b = LdotCdotMdotof a and...

    Text Solution

    |

  17. Let * be a binary operation on N defined by a ** b = HCF of a and b. S...

    Text Solution

    |

  18. If n(A) = p and n(B) = q, then the number of relations from set A to s...

    Text Solution

    |

  19. (a) Let '**' be a binary operation defined on Q, the set of rational n...

    Text Solution

    |

  20. If A = { 1, 2, 3}, then the relation R = {(1, 2), (2, 3), (1, 3)} in A...

    Text Solution

    |