Home
Class 12
MATHS
ast:Rto R given by aastb=3a^2-b Find ...

`ast:Rto R` given by `aastb=3a^2-b`
Find the value of `2ast3` . Is '`ast`' commutative? Justify your answer.

Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

    MAXIMUM PUBLICATION|Exercise EXAMPLE|144 Videos

  • THREE DIMENSIONAL GEOMETRY

    MAXIMUM PUBLICATION|Exercise EXAMPLE|136 Videos

Similar Questions

Explore conceptually related problems

*: RxxRrarr R is given by a**b=3a^2-b .Find the value of 2*3.Is * commutative?Justify your answer.

2Na + H_2 to 2NaH . In this reaction ? Justify your answer.

Consider f:RtoR given by f(x)=5x+2 Is f invertible? Justify your answer.

Let ast be an operation such that aastb=LCM of a and b defined on the set A={1,2,3,4,5} . Is ast a binary operation? Justify your answer.

Let ast be a binary operation on N defined by aastb=HCF of a and b Is ast commutative?

Let ast be a binary operation on the set of all real numbers R defined by aastb=a+b+a^2b for a, b belongs to R. Prove that ast is neither commutative nor associative.

The 4s subshell has more energy than 3p subshell. Is it true ? Justify your answer.

The given table shows an operation ast on A={p,q} (Figure) Is ast commutative? Give reason.

IF A=[[2,4,3],[1,0,6],[0,-2,-3]] , Evalute A+A^T , is it symmetric ? Justify your answer.

MAXIMUM PUBLICATION-RELATIONS AND FUNCTIONS-EXAMPLE
  1. Show that f:[-1,1]toR given by f(x)=frac(x)(x+2) is one-one.

    Text Solution

    |

  2. Let 'ast' be a binary operation on Q^+ defined by 'aastb=frac(ab)(6)'....

    Text Solution

    |

  3. ast:Rto R given by aastb=3a^2-b Find the value of 2ast3 . Is 'ast' ...

    Text Solution

    |

  4. f:RtoR is defined by f(x)=x^2-3x+2 Find fof(x) and fof(1).

    Text Solution

    |

  5. Consider f:RtoR given by f(x)=5x+2 Show that f is one-one.

    Text Solution

    |

  6. Consider f:RtoR given by f(x)=5x+2 Is f invertible? Justify your ans...

    Text Solution

    |

  7. Let ast be a binary operation on N defined by aastb=HCF of a and b I...

    Text Solution

    |

  8. Let ast be a binary operation on N defined by aastb=HCF of a and b I...

    Text Solution

    |

  9. Let f:RtoR be given by f(x)=frac(2x+1)(3) find fof and show that f i...

    Text Solution

    |

  10. Find the identity element of the binary operation ast on N defined by ...

    Text Solution

    |

  11. What is the minimum number of pairs to form a non - zero reflexive rel...

    Text Solution

    |

  12. On the set R of real numbers, S is a relation defined as S={(x,y)//x...

    Text Solution

    |

  13. Consider the function f(x)=frac(3x+4)(x-2),xne2. Find a function on a ...

    Text Solution

    |

  14. If f:RtoR and g:RtoR defined by f(x)=x^2 and g(x)=x+1, then gof(x) is

    Text Solution

    |

  15. Consider the function f:NtoN, given by f(x)=x^3. Show that the functio...

    Text Solution

    |

  16. The given table shows an operation aston A={p,q} (Figure) Is ast a ...

    Text Solution

    |

  17. The given table shows an operation aston A={p,q} (Figure) Is ast co...

    Text Solution

    |

  18. Let R be relation defined on A={1,2,3} by R={(1,3),(3,1),(2,2)} is

    Text Solution

    |

  19. Find fog and gof if f(x)=abs(x+1) and g(x)=2x-1

    Text Solution

    |

  20. Let ast be a binary operation defined on NtimesN by (a,b)ast(c,d)=(a+c...

    Text Solution

    |