Home
Class 12
MATHS
Let the binary operation on Q defined as...

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

Text Solution

Verified by Experts

`3*4 = 6+4-12 = -2`
Promotional Banner

Topper's Solved these Questions

  • MATRICES

    MODERN PUBLICATION|Exercise PROBLEM|18 Videos

  • SAMPLE PAPER 2012

    MODERN PUBLICATION|Exercise EXERCISE|37 Videos

Similar Questions

Explore conceptually related problems

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

Let * is a binary operation on Z defined as a * b = a + b - 5 find the identity element for * on z .

Let be a binary operation defined by a*b = 7a+9b. Find 3*4.

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?

Find the idenity and inverse if any for the binary operation ** on Q-{0} defined by a**b=(ab)/4, a, b in Q-{0}

Let * is a binary operation on [0, ¥) defined as a * b = sqrt (a^(2)+b^(2)) find the identity element.

Let A=R xx R and be the binary operation on A defined by (a, b) *(c,d) = (a + c, b + d). Show that *is commutative and associative. Find the identity element for* on A, if any.

Let* be a binary operation on Q, defined by a*b= (3ab)/(5) .Show that is commutative as well as associative. Also, find its identity, if it exists.

MODERN PUBLICATION-RELATION AND FUNCTIONS-EXERCISE
  1. Let f , R to R and g , R to R defined as f(x) = | x |, g(x) = | 5x - 2...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  4. Let * is a binary operation on Z defined as a * b = a + b - 5 find the...

    Text Solution

    |

  5. Find the number of binary operations on the set {a, b}.

    Text Solution

    |

  6. Let * is a binary operation on [0, ¥) defined as a * b = sqrt (a^(2)+b...

    Text Solution

    |

  7. List the members of the equivalence relation defined by {{1},{2},{3,4...

    Text Solution

    |

  8. Find least non negative integer r such that 7xx13xx23xx413 -= r "(mod ...

    Text Solution

    |

  9. Find least non negative integer r such that 1237"(mod 4)"+985"(mod 4)"...

    Text Solution

    |

  10. For real numbers x and y, define x R y if and only if x-y +sqrt(2) is ...

    Text Solution

    |

  11. Let A = {a,b,c) and the relation R be defined on A as follows: R={{a...

    Text Solution

    |

  12. Let X and Y be sets containing m and n elements respectively.How many ...

    Text Solution

    |

  13. Show that the relation R in the set of real numbers, defined as R = {(...

    Text Solution

    |

  14. "Let" f(x) =sqrtx "and" g(x) = 1 -x^2. Compute fog and gof and find th...

    Text Solution

    |

  15. Show that the operation * given by x*y=x+y+ -xy is a binary oeration o...

    Text Solution

    |

  16. Let * is a binary operation on the set of all non-zero real numbers, g...

    Text Solution

    |

  17. Test whether the relations are reflexive, symmetric or transitive on t...

    Text Solution

    |

  18. Suppose a box contains a set of n balls (n gt 4)(denoted by B )of four...

    Text Solution

    |

  19. If f:XtoY and g:YtoZ be two bijective functions, then prove that (gof)...

    Text Solution

    |

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

    Text Solution

    |