Home
Class 9
MATHS
X is the set of all engineering colleges...

X is the set of all engineering colleges in the state of A.P and R is a relation on X defined as two colleges are realted iff they are affiliated to the same university then R. is

A

only reflexive

B

only symmetric.

C

only transitive.

D

equivalence.

Text Solution

Verified by Experts

The correct Answer is:
D

(i) Verify the reflexvie, symmetric and transitive properties of relations.
(ii) Take an example and proceed.
Promotional Banner

Topper's Solved these Questions

  • SETS AND RELATIONS

    PEARSON IIT JEE FOUNDATION|Exercise LEVEL 2|24 Videos
  • SETS AND RELATIONS

    PEARSON IIT JEE FOUNDATION|Exercise LEVEL 3|8 Videos
  • SETS AND RELATIONS

    PEARSON IIT JEE FOUNDATION|Exercise Easy type|5 Videos
  • SALES TAX AND COST OF LIVING INDEX

    PEARSON IIT JEE FOUNDATION|Exercise Level 3|14 Videos
  • SHARES AND DIVIDENDS

    PEARSON IIT JEE FOUNDATION|Exercise CONCEPT APPLICATION (LEVEL 3)|10 Videos

Similar Questions

Explore conceptually related problems

Let X be the set of all engineering colleges in a state of Indian Republic and R be a relation on X defined as two colleges are related iff they are affiliated to the same university, then R is

On the set of all colleges in a state, a relation R is defined such that two colleges are related if they belong to the same district. Find the properties satisfied by R.

X is the set of all residents in a colony and R is a relation defined on X as follows: ''Two persons are related iff they speak the same language'' The relation R, is

Let Z be the set of all integers and let R be a relation on Z defined by a Rb implies a ge b . then R is

Let X be the set of all graduates in India. Elements x and y in X are said to be related if they are graduates of the same university. Which one of the following statements is correct?

Let X be a family of sets and R be a relation on X defined by A is disjoint from B. Then, R, is

Let A be the set of all student in a school. A relation R is defined on A as follows: ''aRb iff a and b have the same teacher'' The relation R, is

Let A be the set of all children in the worid andR be a relation in A defined by x R y if x andyhave same sex.Then R is

Let L be the set of all lines in the plane and R be the relation in L, defined as : R = { (l_(i),l_(j))=l_(i) is parallel to l_(j),AA i,j }. Show that R is an equivalence relation. Find the set of all lines related to the line y=7x+5 .

PEARSON IIT JEE FOUNDATION-SETS AND RELATIONS-LEVEL 1
  1. If p(n) is the set of first n prime numbers, then underset(n=2)overset...

    Text Solution

    |

  2. If P(n) is the set of first n prime numbers, then underset(n=3)overset...

    Text Solution

    |

  3. If n(mu)=100,n(A)=50,n(B)=20 and n(A cap B)=10, then n[(AcupB)]=

    Text Solution

    |

  4. Let Z denote the set of integers, then (x in Z,|x-3|lt4cap{x inZ:|x-4|...

    Text Solution

    |

  5. If A={n:(n^(3)+5n^(2)+2)/(n) is an integer and n itself is an integer}...

    Text Solution

    |

  6. If A=(1,2,3), then the relation R={(1,1)(2,2),(3,1),(1,3)} is

    Text Solution

    |

  7. If n(AxxB) =45, then n(A) cannot be

    Text Solution

    |

  8. If A,B and C are three non=empty sets such that A and B are disjoint a...

    Text Solution

    |

  9. R and S are two sets such that n(R)=7 and R cap Snephi Further n(S)=6 ...

    Text Solution

    |

  10. Consider the following statements: (i) Every reflexive relation is a...

    Text Solution

    |

  11. The relation is not equal to is defined on the set of real numbers is ...

    Text Solution

    |

  12. If R={(a,b)//|a+b|=|a|+|b|} is a relation on a set {-1,0,1} then R is

    Text Solution

    |

  13. For all p, such that 1 leple100, if n(A(p))=p+2 and A(1)subA(2)subA(3)...

    Text Solution

    |

  14. If R={(a,b)//a+b=4} is a relation on N, then R is

    Text Solution

    |

  15. Let R be a relation defined on S, the set of squares on a chess board ...

    Text Solution

    |

  16. Let A = {ONGC, BHEL, SAIL, GAIL, IOCL} and R be a relation defined as ...

    Text Solution

    |

  17. X is the set of all engineering colleges in the state of A.P and R is ...

    Text Solution

    |

  18. In the following figure, which of the following can be the value of (A...

    Text Solution

    |

  19. In a class, each student likes either cricket or football 40% of the s...

    Text Solution

    |

  20. For all p, such that 1leple100,n(A(p))=p+1 and A(1)subA(2)sub. . .. .s...

    Text Solution

    |