Home
Class 12
MATHS
In (S, **), is defined by x ** y =x wher...

In `(S, **)`, is defined by `x ** y =x` where x, `y in S`, then

A

only associative

B

only commutative

C

associative and commutative

D

neither associative nor commutative

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • DISCRETE MATHEMATICS

    PREMIERS PUBLISHERS|Exercise Solution To Exercise 12.3|20 Videos
  • DIFFERENTIALS AND PARTIAL DERIVATIVES

    PREMIERS PUBLISHERS|Exercise PROBLEMS FOR PRACTICE|40 Videos
  • INVERSE TRIGONOMETRIC FUNCTIONS

    PREMIERS PUBLISHERS|Exercise PROBLEMS FOR PRACTICE ( ANSWER THE FOLLOWING QUESTIONS ):|24 Videos

Similar Questions

Explore conceptually related problems

In (N, **) where ** is defined by x ** y = max (x,y) check the closure axion and identify anion.

Let S be a non-empty set and 0 be a binary operation on s defined by x 0 y =x, x, y in S . Determine whether 0 is commutative and association.

If the function f : [-3,3] to S defined by f(x) = x^(2) is onto, then S is

Let A={1,2,3....14}. Define a relation R from A to A by R={(x,y) : 3x-y=0," where "x, y in A} . Write down its domain, condomain and range.

If the function f : [-3, 3] to S defined by f(x) = x^(2) is onto, then S is .............

If tan^(2) {pi(x+y)}+cot^(2) {pi (x+y)}=1+sqrt((2x)/(1+x^(2))) where x, y in R , then find the least possible value of y.

Show that the general solution of the differential equation (dy)/(dx) + (y^(2) + y + 1)/(x^(2) + x + 1) = 0 is given by ( x + y + 1) = A(1 - x - y - 2xy) , where A is parameter.

Let U(x,y) =e^(x) sin y , where x=st^(2), y =s^(2) t, s, t in R . Find (del U)/(del S), (del U)/(del t) and evaluate them at s=t=1.

If set A and B are defined as A = {(x,y)|y = 1/x, 0 ne x in R}, B = {(x,y)|y = -x , x in R,} . Then

PREMIERS PUBLISHERS-DISCRETE MATHEMATICS-Problems For Practice
  1. Let p be 'Anand is going to school' q be there are twenty five student...

    Text Solution

    |

  2. Which of the following is a tautology?

    Text Solution

    |

  3. In a set of real numbers an operations * defined by a * b=sqrt(a^(2) +...

    Text Solution

    |

  4. Which of the following is not a binary operation on R?

    Text Solution

    |

  5. Which of the following is/are not statement? (i) Three plus four is ...

    Text Solution

    |

  6. In a compound statement which is made of 4 single statement then the n...

    Text Solution

    |

  7. Which of the following are statement? (i) 7 +2 lt 10 (ii) Set of rat...

    Text Solution

    |

  8. In congruence modulo 5, {x in Z//x=5k +2} represents.

    Text Solution

    |

  9. In (S, **), is defined by x ** y =x where x, y in S, then

    Text Solution

    |

  10. Which one of the following is not a statement?

    Text Solution

    |

  11. If truth value of p is T and q is F then which of the following are ha...

    Text Solution

    |

  12. Show that p vee (~p) is a tautology.

    Text Solution

    |

  13. If the binary operation * is defined a * b=a^(2)-b^(2)+ab+4 then (2 * ...

    Text Solution

    |

  14. In a binary operation * defined as a * b=3a-b then the value of (2 * 3...

    Text Solution

    |

  15. Let A=[{:(,0,1),(,1,1):}],B=[{:(,1,1),(,0,1):}] be any two bollean mat...

    Text Solution

    |

  16. -on Z is:

    Text Solution

    |

  17. Which of the following is not a binary operation on R?

    Text Solution

    |

  18. Define *" on Q as " a * b =((2a+b)/(2)), a , b in Q. Then the identify...

    Text Solution

    |

  19. Truth table for p overset(-)(cup) q is given below Which of the f...

    Text Solution

    |

  20. In the following which is true:

    Text Solution

    |