Home
Class 12
MATHS
Let ast be a binary operation defined on...

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.

Promotional Banner

Topper's Solved these Questions

  • MATRICES

    A N EXCEL PUBLICATION|Exercise QUESTION BANK|128 Videos
  • RELATIONS AND FUNCTIONS

    A N EXCEL PUBLICATION|Exercise QUESTION BANK|86 Videos

Similar Questions

Explore conceptually related problems

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

ast ' be a binary operation on NxxN defined as (a,b)ast(c,d)=(ac,bd) Show that ast is commutative.

ast ' be a binary operation on NxxN defined as (a,b)ast(c,d)=(ac,bd) Write an element of NxxN which has an inverse.

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

Let A=NtimesN and ast be a binary operation on A defined by (a,b)*(c,d) = (a + c,b + d) Find (1,2)*(2,3)

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

Let ' ast ' be a binary operation on Q^+ defined by ' aastb=frac(ab)(6) '. Find the inverse of 9 with respect to ' ast '.

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

Let A=NtimesN and ast be a binary operation on A defined by (a,b)*(c,d) = (a + c,b + d) Prove that ast is commutative

A N EXCEL PUBLICATION-PROBABILITY-QUESTION BANK
  1. Let R be relation defined on A={1,2,3} by R={(1,3),(3,1),(2,2)} is

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  4. Principal value of cot^-1(-1/(sqrt3)) is a)pi/3 b)-pi/3 c)pi/6 d)2pi/3

    Text Solution

    |

  5. If tan^(-1) ((x-1)/(x-2)) + tan^(-1) ((x+1)/(x+2)) = pi/4. then find t...

    Text Solution

    |

  6. The value of k such that matrix [[1,k],[-k,1]] is symmetric if

    Text Solution

    |

  7. If A=[[costheta,sintheta],[-sintheta,costheta]] then prove that A^2...

    Text Solution

    |

  8. If A=[[1,3],[4,1]] , then find abs(3A^T)

    Text Solution

    |

  9. If A=[[a,1],[1,0]] is such that A^2=I then a equals

    Text Solution

    |

  10. Solve the system of equations x-y+z=4,2x+y-3z=0,x+y+z=2 Using matr...

    Text Solution

    |

  11. Find the values of a and b such that the function f(x)={(5a,x le 0) ...

    Text Solution

    |

  12. Find dy/dx if (sinx)^(cosy) = (cosy)^(sinx)

    Text Solution

    |

  13. The slope of the normal to the curve, y^2=4x at (1,2) is

    Text Solution

    |

  14. Find the intervals in which the function 2x^3+9x^2+12x-1 is strictly i...

    Text Solution

    |

  15. The rate of change of volume of a sphere with respect to its radius wh...

    Text Solution

    |

  16. Find two positive numbers whose sum is 16 and the sum of whose Cubes i...

    Text Solution

    |

  17. Find the following: int 1/(x(x^7+1))dx

    Text Solution

    |

  18. Find the following: int1^4abs[x-2]dx

    Text Solution

    |

  19. Find int0^(pi/2) logsinxdx

    Text Solution

    |

  20. Evaluateint0^4x^2dx as the limit of a sum.

    Text Solution

    |