Home
Class 12
MATHS
Let A = (p, q, r) which of the following...

Let A = (p, q, r) which of the following is an equvilance relation on A?

A

`R_{1} = {(p, q), (q, r), (p, r), (p, p)}`

B

`R_{2} = {(r, p ), (q, p ), (r, r), (q, q)}`

C

`R_{3} = {(p, p), (q, q), (r, r), (p, q)}`

D

`R_{4} = {(p, p), (q, q), (r, r)}`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • QUADRATIC EQUATIONS AND EXPRESSION

    HIMALAYA PUBLICATION|Exercise Question Bank|129 Videos
  • STATISTICS MEASURE OF DIPERSION

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|28 Videos

Similar Questions

Explore conceptually related problems

Let A= {a,b,c}. Which of the following is not an equivalence relation in A?

In the set of integers Z, which of the following relation R is not an equivalence relation?

Which of the following is true for the proposition p and q?

Let A = {P, Q, R, S} and B = {1, 2, 3} which of the following relations from A to B is not a function.

Show that the relation R in the set A of points in a plane given by R = {(P,Q): distance of the point P from the origin is same as the distance of the point Q from the origin}, is an equivalence relation. Further, show that the set of all points related to a point P ne (0,0) is the circle passing through P with origin as centre.

If vec p, vec q, vec r are any three vectors, which of the following is not correct

Let R be a relation defined on the set of natural numbers N as follow : R= {(x,y):x in N, y in N and 2x+y=24} Find the domain and range of the relation R. Also, find R is an equivalence relation or not.

If the vertices P, Q, R are rational points which of the following points of the triangle P Q R is (are) always rational point(s)?

HIMALAYA PUBLICATION-SETS,RELATIONS AND FUNCTIONS-QUESTION BANK
  1. Let A = {2, 4, 6, 8} and define R = {(2, 4), (4, 2), (4, 6), (6, 4)} t...

    Text Solution

    |

  2. Let A = {P, Q, R, S} and B = {1, 2, 3} which of the following relation...

    Text Solution

    |

  3. Let A = (p, q, r) which of the following is an equvilance relation on ...

    Text Solution

    |

  4. In the set X = { a, b, c, d} which of the following relation is a fu...

    Text Solution

    |

  5. In the set of A = {1, 2, 3, 4, 5}, a relation R is defined by R = (x...

    Text Solution

    |

  6. The relation R = {(1, 1), (2, 2), (3, 3)} on the set of {1, 2, 3] is

    Text Solution

    |

  7. If A= {2,3,4,5}, then which of the following relations is a function f...

    Text Solution

    |

  8. In the set X = { a, b, c, d} which of the following relation is a fu...

    Text Solution

    |

  9. Let A = {1, 2, 3} and B={2, 3, 4}, then which of the following relatio...

    Text Solution

    |

  10. Let A = {P, Q, R, S} and B = {1, 2, 3} which of the following relation...

    Text Solution

    |

  11. Let A = {1, 2, 3, 4} and B = {1, 2}. Then the number of onto functions...

    Text Solution

    |

  12. If n gt= 2 then the number of onto mappings (surjections) that can be ...

    Text Solution

    |

  13. If f : A rarr B is surjective then

    Text Solution

    |

  14. Let f(x) = ( 2x+1)/(1-3x), then f^-1 (x) =

    Text Solution

    |

  15. If A = (x: x = (1)/(y), y in N), where N is the set of natural numbers...

    Text Solution

    |

  16. If f(x) = 1+x^4, then f(x).f((1)/(x))=

    Text Solution

    |

  17. If f(x) = cos(log x), then f((1)/(x)) f((1)/(y) - (1)/(2)[f((x)/(y))+ ...

    Text Solution

    |

  18. Two functions f:R rarr R and g:R rarrR are defined as below f(x) = {(0...

    Text Solution

    |

  19. The domain of the function f(x)=sqrt(2-2x-x^2) is

    Text Solution

    |

  20. If g(x) = 1+sqrtx and f(g(x))=3+2sqrtx+x then f(x) =

    Text Solution

    |