Home
Class 12
MATHS
Let A = {a,b,c) and the relation R be de...

Let A = {a,b,c) and the relation R be defined on A as follows:
R={{a,a), (b,c),(a,b)}.
Then, write minimum number of ordered pairs to be added in R to make R reflexive and transitive.

Promotional Banner

Topper's Solved these Questions

  • MATRICES

    MODERN PUBLICATION|Exercise PROBLEM|18 Videos

  • SAMPLE PAPER 2012

    MODERN PUBLICATION|Exercise EXERCISE|37 Videos

Similar Questions

Explore conceptually related problems

Let A={1, 2, 3} and let the relation R={(1, 2), (2, 3)} what is the minimum number of order pairs introduced to R ot make it an equivalence relation.

Let A = {1,2,3,4,5,6} and Let R be a relation on A defined by R {(a,b)| a divides b} Find R.

Let A = {1,2,3,4,5,6} and Let R be a relation on A defined by R {(a,b)| a divides b} Find rng R.

Let A = {1,2,3,4,5,6} and Let R be a relation on A defined by R {(a,b)| a divides b} Find dom R.

If the relation R is defined on the set A={1,2,3,4,5} by R={a,b} : |a^(2)-b^(2)| lt 8 . Then, find the relation R.

Let A = {1,2,3,4,5,6} and Let R be a relation on A defined by R {(a,b)| a divides b} Find Dom R^(-1) .

Let A = {1,2,3,4,5,6} and Let R be a relation on A defined by R {(a,b)| a divides b} Find R^(-1) .

Let A = {1,2,3,4,5,6} and Let R be a relation on A defined by R {(a,b)| a divides b} Find rng R^(-1) .

Let A = {1,2,3,4,…., 15,16} and let R be a relation in A given by R={(a,b)}:b=a^(2)} , then find domain and range of relation R.

Let A be the set of all points in a plane and R be a relation on A defined as R={(P,Q): distance between P and Q is less than 2 units). Show that R is reflexive and symmetric but not transitive.

MODERN PUBLICATION-RELATION AND FUNCTIONS-EXERCISE
  1. Find least non negative integer r such that 1237"(mod 4)"+985"(mod 4)"...

    Text Solution

    |

  2. For real numbers x and y, define x R y if and only if x-y +sqrt(2) is ...

    Text Solution

    |

  3. Let A = {a,b,c) and the relation R be defined on A as follows: R={{a...

    Text Solution

    |

  4. Let X and Y be sets containing m and n elements respectively.How many ...

    Text Solution

    |

  5. Show that the relation R in the set of real numbers, defined as R = {(...

    Text Solution

    |

  6. "Let" f(x) =sqrtx "and" g(x) = 1 -x^2. Compute fog and gof and find th...

    Text Solution

    |

  7. Show that the operation * given by x*y=x+y+ -xy is a binary oeration o...

    Text Solution

    |

  8. Let * is a binary operation on the set of all non-zero real numbers, g...

    Text Solution

    |

  9. Test whether the relations are reflexive, symmetric or transitive on t...

    Text Solution

    |

  10. Suppose a box contains a set of n balls (n gt 4)(denoted by B )of four...

    Text Solution

    |

  11. If f:XtoY and g:YtoZ be two bijective functions, then prove that (gof)...

    Text Solution

    |

  12. Prove that f:X rarr Y is surjective iff for all B sube Y, f(f^(-1)(B))...

    Text Solution

    |

  13. Prove that f:X rarr Y is surjective iff for all A sube X,(f(A))' sube ...

    Text Solution

    |

  14. Let A and B be sets. Show that f : A xx B rarr B xx A such that f (...

    Text Solution

    |

  15. Examine f:(-1,1) rarr R,f(x) = x/(1-x^2functions if it is (i) injecti...

    Text Solution

    |

  16. Consider f:R(+) [4, oo] is given by f(x)= x^(2) + 4. Show that f is in...

    Text Solution

    |

  17. Test whether the relations are reflexive, symmetric or transitive on t...

    Text Solution

    |

  18. Find the number of equivalence, relations on X ={1,2,3),

    Text Solution

    |

  19. Let A = {1, 2, 3). Then, show that the number of relations containing ...

    Text Solution

    |

  20. Let R be a relation on the set A of ordered pairs of positive integers...

    Text Solution

    |