Home
Class 12
MATHS
Let A={-1,0,1} Write a binary operatio...

Let `A={-1,0,1}`
Write a binary operation `ast` on A.

Promotional Banner

Topper's Solved these Questions

  • MATRICES

    MAXIMUM PUBLICATION|Exercise EXAMPLE|119 Videos
  • PROBABILITY

    MAXIMUM PUBLICATION|Exercise EXAMPLE|144 Videos

Similar Questions

Explore conceptually related problems

Let A={-1,0,1} How many binary operations are possible on A?

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 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

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 associative

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)

Let A={-1,0,1} Give reason why the operation defined by aastb=a/b is not a binary operation on A.

Let A=N xx N and let * be a binary operation on A defined by (a, b) * (c, d) = (a c, b d) show that (i) ( A ,*) is associative (ii)( A ,*) is commutative

A={1,2,3,4,6},ast is a binary operation on A is defined as aastb=HCF of a and b. Represent ast with the help of an operation table.

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.

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

MAXIMUM PUBLICATION-MODEL QUESTION-EXAMPLE
  1. Find the value of sin(2tan^-1frac(2)(3))+cos(tan^-1sqrt3)

    Text Solution

    |

  2. Let A={-1,0,1} Give reason why the operation defined by aastb=a/b ...

    Text Solution

    |

  3. Let A={-1,0,1} Write a binary operation ast on A.

    Text Solution

    |

  4. Let A={-1,0,1} How many binary operations are possible on A?

    Text Solution

    |

  5. Find the equation of a line L passing through the points (-1,0,2) and ...

    Text Solution

    |

  6. Find dy/dx of the following: y=sec(tanx)

    Text Solution

    |

  7. Find dy/dx of y^x=x^y

    Text Solution

    |

  8. Find inttan^-1xdx

    Text Solution

    |

  9. Find the area bounded by the curve y=tan^-1x with X-axis from x=0 an...

    Text Solution

    |

  10. Consider the DE(x^2+y^2)dx=2xydy Solve the DE completely

    Text Solution

    |

  11. Consider a plane which is rquidistant from the points (1,2,1) and (3...

    Text Solution

    |

  12. Consider a plane which is equidistant from the points (1,2,1) and (3...

    Text Solution

    |

  13. Let veca=2hati+hatj-3hatk and vecb=4hati+hatj+hatk be two vectors. Fi...

    Text Solution

    |

  14. Find the following integrals. int0^(pi/2)frac(sin^5x)(sin^5x+cos^5x)...

    Text Solution

    |

  15. Hence evaluate the area bounded by the curve y=xsinx between x=-pi a...

    Text Solution

    |

  16. In a ladies hostel,60% of the students read Hindi newspaper,40% read...

    Text Solution

    |

  17. In a ladies hostel,60% of the students read Hindi newspaper,40% read...

    Text Solution

    |

  18. In a ladies hostel,60% of the students read Hindi newspaper,40% read...

    Text Solution

    |

  19. Let A be a matrix of order 3xx3 whose elements are given by a(ij)=2i-j...

    Text Solution

    |

  20. Consider the matrix A=[[1,3,6],[-1,-1,2],[1,1,5]] Find abs[A]

    Text Solution

    |