Home
Class 10
MATHS
Let R be the relation over the set of al...

Let `R` be the relation over the set of all straight lines in a plane such that `l_1\ R\ l_2hArrl_1_|_l_2`. Then, `R` is (a) symmetric (b) reflexive (c) transitive (d) an equivalence relation

A

symmetric

B

reflexive

C

transitive

D

an equivalence relation

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Similar Questions

Explore conceptually related problems

Let R be the relation over the set of all straight lines in a plane such that l_(1) R l_(2) iff l_(1) _|_ l_(2) . Then, R is

Let A be a relation on the set of all lines in a plane defined by (l_(2), l_(2)) in R such that l_(1)||l_(2) , the n R is

R is a relation on the set Z of integers and it is given by (x ,\ y) in RhArr|x-y|lt=1. Then, R is (a) reflexive and transitive (b) reflexive and symmetric (c) symmetric and transitive (d) an equivalence relation

S is a relation over the set R of all real numbers and it is given by (a ,\ b) in ShArra bgeq0 . Then, S is symmetric and transitive only reflexive and symmetric only (c) antisymmetric relation (d) an equivalence relation

Let R be a relation over the set NxxN and it is defined by (a,b)R(c,d)impliesa+d=b+c . Then R is

Let R be the relation on the set of all real numbers defined by aRb iff |a-b|<=1 .Then R is Reflexive and transitive but not symmetric Reflexive symmetric and transitive Symmetric and transitive but not reflexive Reflexive symmetric but not transitive

Let R be the relation on the set of all real numbers defined by aRb iff |a-b|<=1 .Then R is O Reflexive and transitive but not symmetric O Reflexive symmetric and transitive O Symmetric and transitive but not reflexive O Reflexive symmetric but not transitive

The relation has the same father as' over the set of children (a) only reflexive (b) only symmetric (c) only transitive (d) an equivalence relation

The relation ' R ' in NxxN such that (a ,\ b)\ R\ (c ,\ d)hArra+d=b+c is reflexive but not symmetric reflexive and transitive but not symmetric an equivalence relation (d) none of these

Let R be a relation on the set of all line in a plane defined by (l_(1),l_(2))in R hArr l in el_(1) is parallel to line l_(2). Show that R is an equivalence relation.