Home
Class 12
MATHS
Consider the binary operation ** on the ...

Consider the binary operation `**` on the set `{1, 2, 3, 4, 5}` defined by `a ** b=min. {a, b}`. Write the operation table of the operation `**`.

Text Solution

Verified by Experts

operation Table is shown in the video
the binary operation* on the set {1, 2, 3, 4, 5} defined by a * b=min. {a, b}.
Promotional Banner

Topper's Solved these Questions

  • CUET MOCK TEST 2022

    XII BOARDS PREVIOUS YEAR|Exercise Question|49 Videos

Similar Questions

Explore conceptually related problems

Consider the infimum binary operation ^^ on the set S={1,2,3,4,5} defined by a^^b= Minimum of aandb .Write the composition table of the operation ^^ .

Consider the binary operation ^^ on the set {1,quad 2,quad 3,quad 4,quad 5} defined by a^^b operation table of the operation ^^ .

If the binary operation ** on the set Z of integers is defined by a**b=a+b-5 , then write the identity element for the operation '**' in Z.

If the binary operation * on the set Z of integers is defined by a*b=a+b-5 then write the identity element for the operation * in Z .

Let *prime be the binary operation on the set {1," "2," "3," "4," "5} defined by a*primeb=" "HdotCdotFdot of a and b. Is the operation *prime same as the operation * defined in Exercise 4 above? Justify your answer.

Define a binary operation ** on the set A={0,1,2,3,4,5} as a**b=(a+b) \ (mod 6) . Show that zero is the identity for this operation and each element a of the set is invertible with 6-a being the inverse of a . OR A binary operation ** on the set {0,1,2,3,4,5} is defined as a**b={[a+b if a+b = 6]} Show that zero is the identity for this operation and each element a of the set is invertible with 6-a , being the inverse of a .

If the binary operation * on the set Z of integers is defined by a*b=a+3b^(2), find the value of 2*4.

If the binary operation * on the set Z of integers is defined by a*b=a+3b^(2), find the value of 2*4.

If the binary operation * on the set of integers Z, is defined by a^(*)b=a+3b^(2), then find the value of 2*4

Define a commutative binary operation on a set.

XII BOARDS PREVIOUS YEAR-BOARD PAPER SOLUTIONS-All Questions
  1. Find the value of a for which the function f defined by f9x)={asinpi/...

    Text Solution

    |

  2. int2/((1-x)(1+x^2))dx

    Text Solution

    |

  3. Consider the binary operation ** on the set {1, 2, 3, 4, 5} defined by...

    Text Solution

    |

  4. Write the intercept cut off by the plane 2x+y-z=5 on x-a xi sdot

    Text Solution

    |

  5. Using properties of determinants, prove that |(-a^2,ab,ac),(ba,-b^2,bc...

    Text Solution

    |

  6. Write the principal value of t a n^(-1)[t a n(3pi)/4]dot

    Text Solution

    |

  7. Show that the right circular cylinder, open at the top, and of give...

    Text Solution

    |

  8. The points A(4, 5, 10), B(2, 3, 4) and C (1, 2,-1) are thr...

    Text Solution

    |

  9. A small firm manufactures gold rings and chains. The total number o...

    Text Solution

    |

  10. Find the particular solution of the differential equation satisfyin...

    Text Solution

    |

  11. Find the points on the curve y=x^3 at which the slope of the tangen...

    Text Solution

    |

  12. Find the area of the region bounded by the curves x^(2)+y^(2)=4 and (x...

    Text Solution

    |

  13. Using properties of determinants, show the following: |[(b+c)^2,ab, ...

    Text Solution

    |

  14. Find the values of x for which f(x)=[x(x-2)]^2 is an increasing unc...

    Text Solution

    |

  15. Find the particular solution of the differential equation x(x^2-a)...

    Text Solution

    |

  16. Form the differential equation of the family of circles in the seco...

    Text Solution

    |

  17. A dealer wishes to purchase a number of fans and sewing machines. He h...

    Text Solution

    |

  18. Find the area of the region included between the parabola y^2=x and...

    Text Solution

    |

  19. Evaluate: int0^pi(x dx)/(a^2cos^2\ \ x+b^2sin^2\ \ x)

    Text Solution

    |

  20. Coloured bills are distributed in three bags as shown in the follow...

    Text Solution

    |