Home
Class 12
MATHS
Let ** be a binary operation on the set ...

Let `**` be a binary operation on the set Z of integers as `a**b=a+b+1`. Then find the identity element:

Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

    BODY BOOKS PUBLICATION|Exercise EXERCISE|8 Videos

  • RELATIONS AND FUNCTIONS

    BODY BOOKS PUBLICATION|Exercise EXERCISE|10 Videos

Similar Questions

Explore conceptually related problems

Let ** be a binary operation on the set Q of rational numbers as follows a**b=a+ab . Is the binary operation commutative and associative ?

Let ** be a binary operation on the set Q of rational numbers as follows a**b=(a-b)^2 . Is the binary operation commutative and associative ?

Let ** be a binary operation on the set Q of rational numbers as follows a**b=a^2+b^2 . Is the binary operation commutative and associative ?

*be a binary operation on Q,defined as a**b=(3ab)/5 Find the identity element of *if any.

Let ** be a binary operation on the set Q of rational numbers as follows a**b=a-b . Check whether * is commutative and associative

ast ' is a binary operation on R defined as aastb=2ab Find the identity element if exists.

A={1,2,3,4,6},ast is a binary operation on A is defined as aastb=HCF of a and b. Find the identity element.

ast ' be a binary operation on NxxN defined as (a,b)ast(c,d)=(ac,bd) Find the identity element of ast if any

Let ast be a binary operation defined on NtimesN by (a,b)ast(c,d)=(a+c,b+d) Find the identity element for ast if it exists.

* be a binary operation on Q,defined as a**b=(3ab)/5 .Show that *is commutative.

BODY BOOKS PUBLICATION-QUESTION PAPER 2020-EXERCISE
  1. Let R be a relation in the set N of natural numbers given by R={(a,b):...

    Text Solution

    |

  2. Let ** be a binary operation on the set Z of integers as a**b=a+b+1. T...

    Text Solution

    |

  3. Write two non-zero matrices A and B for which AB=0.

    Text Solution

    |

  4. Express A=[(1,-1),(2,3)] as the sum of a symmetric matrix and a skew s...

    Text Solution

    |

  5. using properties of determinants, prove that abs[[1,a,a^2],[1,b,b^2],...

    Text Solution

    |

  6. Which among the following is not true

    Text Solution

    |

  7. Find dy/dx, if x^2+y^2+xy=100

    Text Solution

    |

  8. Identify the following function

    Text Solution

    |

  9. Identify the following function: Is the function differentiable? Why...

    Text Solution

    |

  10. Find derivative of y=sqrttanx

    Text Solution

    |

  11. The slope of the tangent to the curve y=e^(2x) at (0,1) is.....a)1 b)2...

    Text Solution

    |

  12. Find the equation of a line perpendicular to the tangent to the curve ...

    Text Solution

    |

  13. The general solution of a differential equation contains 3 arbitrary c...

    Text Solution

    |

  14. Check whether y=e^(-3x) is a solution of the differential equation fra...

    Text Solution

    |

  15. Consider the following figure: Find the distance of PQ.

    Text Solution

    |

  16. Let A=R-{3} and B=R-{1} consider the function f:AtoB defined by f(x)=f...

    Text Solution

    |

  17. Let A=R-{3}and B=R-{1}consider the function f:ArarrB defined by f(x)=(...

    Text Solution

    |

  18. Let A=R-{3}and B=R-{1}consider the function f:ArarrB defined by f(x)=(...

    Text Solution

    |

  19. If xy<1,tan^-1x+tan^-1y=........ a)tan^-1(frac(x-y)(1+xy)) b)tan^-1(f...

    Text Solution

    |

  20. Solve tan^-1 2x+tan^-1 3x=pi/4

    Text Solution

    |