Home
Class 12
MATHS
Let A be Q/{1}. Define * on A by x * y=x...

Let A be Q/{1}. Define * on A by x * y=x+y-xy. Is * binary on A? If so, examine the commutative and association properties satisfied by * on A.

Promotional Banner

Topper's Solved these Questions

  • DISCRETE MATHEMATICS

    PREMIERS PUBLISHERS|Exercise Solution To Exercise 12.2|37 Videos

  • DISCRETE MATHEMATICS

    PREMIERS PUBLISHERS|Exercise Solution To Exercise 12.3|20 Videos

  • DISCRETE MATHEMATICS

    PREMIERS PUBLISHERS|Exercise Problems For Practice|30 Videos

  • DIFFERENTIALS AND PARTIAL DERIVATIVES

    PREMIERS PUBLISHERS|Exercise PROBLEMS FOR PRACTICE|40 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    PREMIERS PUBLISHERS|Exercise PROBLEMS FOR PRACTICE ( ANSWER THE FOLLOWING QUESTIONS ):|24 Videos

Similar Questions

Explore conceptually related problems

Let A be Q/{1}. Define * on A by x * y=x+y-xy. Is * binary on A? If so, examine the existence of identity & inverse properties for the operation * on A.

Let M={[{:(,x,x),(,x,x):}}: x in R-{0}} and let * be the matrix multiplication. Determine whether M is closed under *. If so, examine the commutative and associative properties satisfied by * on M.

Define an operation * on Q as follows: a * b =((a+b)/(2)), a, b in Q . Examine the closure, communative, and associative properties satisfied by * on Q.

Let S be a non-empty set and 0 be a binary operation on s defined by x 0 y =x, x, y in S . Determine whether 0 is commutative and association.

Let A ={1,2,3,…… 14 } R is a relation on A defined by R = {(x,y),3x -y=0 ,x,y in A } find the domain , and range or R .

PREMIERS PUBLISHERS-DISCRETE MATHEMATICS-Solution To Exercise 12.1
  1. Determine whether ** is a binary operation on the sets given below. ...

    Text Solution

    |

  2. Determine whether ** is a binary operation on the sets given below. ...

    Text Solution

    |

  3. On Z, define ox by (m ox n) = m^(n) + n^(m) : AA m, n in Z. Is ox bina...

    Text Solution

    |

  4. Let ** be defined on R by (a ** b) = a+b + ab -7. Is ** binary on R? I...

    Text Solution

    |

  5. Let A={a + sqrt(5)b: a, b in Z}. Check whether the usual multiplicatio...

    Text Solution

    |

  6. Define an operation * on Q as follows: a * b =((a+b)/(2)), a, b in Q. ...

    Text Solution

    |

  7. Define an operation * on Q as follows: a * b =((a+b)/(2)), a, b in Q. ...

    Text Solution

    |

  8. Fill in the following table so that the binary operation ** on A={a,b,...

    Text Solution

    |

  9. Consider the binary operation * defined on the set A= {a,b,c,d} by the...

    Text Solution

    |

  10. Let A =({:(1,0,1,0),(0,1,0,1),(1,0,0,1):}), B=({:(0,1,0,1),(1,0,1,0),(...

    Text Solution

    |

  11. Let A =({:(1,0,1,0),(0,1,0,1),(1,0,0,1):}), B=({:(0,1,0,1),(1,0,1,0),(...

    Text Solution

    |

  12. Let A =({:(1,0,1,0),(0,1,0,1),(1,0,0,1):}), B=({:(0,1,0,1),(1,0,1,0),(...

    Text Solution

    |

  13. Let A =({:(1,0,1,0),(0,1,0,1),(1,0,0,1):}), B=({:(0,1,0,1),(1,0,1,0),(...

    Text Solution

    |

  14. Let M={[{:(,x,x),(,x,x):}}: x in R-{0}} and let * be the matrix multip...

    Text Solution

    |

  15. Let M={[{:(,x,x),(,x,x):}}: x in R-{0}} and let * be the matrix multip...

    Text Solution

    |

  16. Let A be Q/{1}. Define * on A by x * y=x+y-xy. Is * binary on A? If so...

    Text Solution

    |

  17. Let A be Q/{1}. Define * on A by x * y=x+y-xy. Is * binary on A? If so...

    Text Solution

    |