Home
Class 12
MATHS
Let S = {a,b,c,d,e} and R be a relation ...

Let S = {a,b,c,d,e} and R be a relation on S defined by,
`R={(b,a),(b,d),(d,b),(d,d),(e,b)}` ,
find the inverse of R.

Text Solution

Verified by Experts

The correct Answer is:
`R^-1={(a,b),(d,b),(b,d),(d,d),(b,e)}`
Promotional Banner

Topper's Solved these Questions

  • RELATION AND MAPPING

    CHHAYA PUBLICATION|Exercise Short Answer Type Question|60 Videos
  • RELATION AND MAPPING

    CHHAYA PUBLICATION|Exercise Long Answer Type Questions|72 Videos
  • RELATION AND MAPPING

    CHHAYA PUBLICATION|Exercise Multiple choice question|28 Videos
  • REAL NUMBERS

    CHHAYA PUBLICATION|Exercise Exercise (Long Answer Type Questions)|10 Videos
  • RELATION AND FUNCTIONS

    CHHAYA PUBLICATION|Exercise JEE Advanced Archive|3 Videos

Similar Questions

Explore conceptually related problems

Let S = {a,b,c,d,e} and R be a relation on S defined by, R={(b,a),(b,d),(d,b),(d,d),(e,b)} , find the domain

Let S = {a,b,c,d,e} and R be a relation on S defined by, R={(b,a),(b,d),(d,b),(d,d),(e,b)} , find the range.

When is a relation R on a set A not reflexive ? Let A {a,b,c,d} and R be a relation on A given by R= {(a,a), (a,c), (c,a) , (c,c), (d,d)}. Is R reflexive on A ?

Let R be the relation on Z defined by R = {(a,b),a, b in Z,a^2 =b^2} Find R

Let R be the relation on Z defined by R= {(a,b): a, b in Z, a-b "is an integer"). Find the domain and range of R.

Let R be the relation on Z defined by R = {(a,b),a, b in Z,a^2 =b^2} Find Domain of R

Let R be the relation on Z defined by R = {(a,b),a, b in Z,a^2 =b^2} Find Range of R.

Set A={a,b,c,d} then the number of defined relation in A is

Let A ={a,b,c, d,e} and f: A rarr A be defined by f(a)=d, f (b) =a,f(c) =d, f(d) =b and f(e)=d find (i) f^(-1)(b) (ii) f^(-1) (e) (iii) f^(-1) (d) and (iv) f^(-1) {a,b} .

Let N N be the set of natural numbers and R be a relation on N NxxN N defined by, (a,b) R (c,d) to a+d=b+c, for all (a,b) and (c,d) iN N NxxN N . prove that R is an equivalence relation on N NxxN N .

CHHAYA PUBLICATION-RELATION AND MAPPING -Very short answer type questions
  1. Let S = {a,b,c,d,e} and R be a relation on S defined by, R={(b,a),(b...

    Text Solution

    |

  2. Let S = {a,b,c,d,e} and R be a relation on S defined by, R={(b,a),(b...

    Text Solution

    |

  3. Let S = {a,b,c,d,e} and R be a relation on S defined by, R={(b,a),(b...

    Text Solution

    |

  4. A relation R is defined on the set A = {2,3,4,6} as follows: (x,y) i...

    Text Solution

    |

  5. Find R^(-1) in each of the following cases : R={(1,2),(1,3),(2,4),(2...

    Text Solution

    |

  6. Find R^(-1) in each of the following cases : R = {(x,y):x inNN, y in...

    Text Solution

    |

  7. Let A = {2,3,4,5} and B = {8,9,10,11} and let R be a relation from A t...

    Text Solution

    |

  8. Let f:R to R and g:R to R is define by f(x)=2x+3 and g(x)=3x-2, then f...

    Text Solution

    |

  9. What is the difference between a mapping and a relation? Is every rela...

    Text Solution

    |

  10. Let, the function f:RRrarrRR be defined by, f(x)={:{(1 ,"when " x in...

    Text Solution

    |

  11. Let, the function f:RRrarrRR be defined by, f(x)={:{(1 ,"when " x in...

    Text Solution

    |

  12. Let, the function f:RRrarrRR be defined by, f(x)={:{(1 ,"when " x in...

    Text Solution

    |

  13. Find the domain for which the function f(x)=3x^2-2x and g (x) = 9x - ...

    Text Solution

    |

  14. Let C be the set of complex numbers and the function f:RR to RR,g:C ...

    Text Solution

    |

  15. Functions f and g are defined as follows: f:RR- {2}toRR,"where "f(x)...

    Text Solution

    |

  16. Let f be a subset of ZZ xxZZ such that f={(xy,x-y):x, y in ZZ} Is f a ...

    Text Solution

    |

  17. A={-2,-1,0,1,2},B={5,7,11} and f:AtoB,where f(x)=x^2-x +5,then find th...

    Text Solution

    |

  18. Let A = {-2,-1,0,1,2} and f:A to ZZ be defined by f(x) = 2x+1 for all ...

    Text Solution

    |

  19. Let A = {0,1,2,3,4} and f:A to ZZ be defined by f(x) = x^2 -5x+2, find...

    Text Solution

    |

  20. Let A = {0,1,2,3,4} and f:A to ZZ be defined by f(x) = x^2 -5x+2, find...

    Text Solution

    |