Home
Class 12
MATHS
If the binary operation * on the set ...

If the binary operation * on the set Z of integers is defined by `a*b=a+3b^2,` find the value of `2*4` .

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF INTEGRALS

    RD SHARMA ENGLISH|Exercise All Questions|163 Videos
  • BINOMIAL DISTRIBUTION

    RD SHARMA ENGLISH|Exercise All Questions|149 Videos

Similar Questions

Explore conceptually related problems

If the binary operation "." on the set of integers Z , is defined by a*b=a+3b^2, then find the value of 2*4

Let * be a binary operation on set of integers I, defined by a*b=2a+b-3. Find the value of 3*4.

If the binary operation * on the set Z of integers is defined by a * b=a + b - 5 , then write the identity element for the operation * in Z.

Let * be a binary operation on set of integers I, defined by a*b=2a+b-3 . Find the value of 3*4 .

Let * be a binary operation on set of integers I , defined by a * b=2a+b-3 . Find the value of 3 * 4 .

Define a binary operation on a set.

If a binary operation * is defined on the set Z of integers as a * b=3a-b , then the value of (2 * 3) * 4 is

If an operation ** on the set of integers Z is defined by a**b=2a^2+b then find (i) whether is binary or not, and (ii) if binary then is it commutative or not.

If the binary operation * on the set Z is defined by a*b =a+b-5, then find the identity element with respect to *.

The binary operation defined on the set z of all integers as a ** b = |a-b| - 1 is

RD SHARMA ENGLISH-BINARY OPERATIONS-All Questions
  1. On R-[1] , a binary operation * is defined by a*b=a+b-a b . Prove that...

    Text Solution

    |

  2. Let * be a binary operation on Q0 (set of non-zero rational numbers) ...

    Text Solution

    |

  3. If the binary operation * on the set Z of integers is defined by a*...

    Text Solution

    |

  4. Show that the operation vv and ^^ on R defined as avvb= Maximum of ...

    Text Solution

    |

  5. Let n be a positive integer. Prove that the relation R on the set Z o...

    Text Solution

    |

  6. Define a binary operation ** on the set A={1,\ 2,\ 3,4} as a**b=a b...

    Text Solution

    |

  7. On the set R-{-1} a binary operation * is defined by a*b=a+b+a b for a...

    Text Solution

    |

  8. Q^+ denote the set of all positive rational numbers. If the binary ope...

    Text Solution

    |

  9. Let '*' be a binary operation on Q0 (set of all non-zero rational numb...

    Text Solution

    |

  10. On the power set P of a non-empty set A, we define an operation * by ...

    Text Solution

    |

  11. If the binary operation * on Z is defined by a*b=a^2-b^2+a b+4 , then ...

    Text Solution

    |

  12. Is * defined by a*b=(a+b)/2 is binary operation on Z.

    Text Solution

    |

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

    Text Solution

    |

  14. On the set M=A(x)={[xxxx]: x in R}of2x2 matrices, find the identity ...

    Text Solution

    |

  15. Let +6 (addition modulo 6) be a binary operation on S={0,\ 1,\ 2,\ ...

    Text Solution

    |

  16. Let A=Q x Q and let * be a binary operation on A defined by (a , b)*(c...

    Text Solution

    |

  17. Let A=NxN , and let * be a binary operation on A defined by (a , b)*(...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |