EASY
12th CBSE
IMPORTANT
Earn 100

Is it true that every relation which is symmetric and transitive is also reflexive? Give reasons.

Important Questions on Relation

EASY
12th CBSE
IMPORTANT
MATHEMATICS CLASS XII VOLUME-1>Chapter 1 - Relation>EXERCISE>Q 12
An integer m is said to be related to another integer n if m is a multiple of n. Check if the relation is symmetric, reflexive and transitive.
EASY
12th CBSE
IMPORTANT
MATHEMATICS CLASS XII VOLUME-1>Chapter 1 - Relation>EXERCISE>Q 13
Show that the relation '≥' on the set R of all real numbers is reflexive and transitive but not symmetric ?
MEDIUM
12th CBSE
IMPORTANT
MATHEMATICS CLASS XII VOLUME-1>Chapter 1 - Relation>EXERCISE>Q 14
Give an example of a relation which is reflexive and symmetric but not transitive ?
EASY
12th CBSE
IMPORTANT
MATHEMATICS CLASS XII VOLUME-1>Chapter 1 - Relation>EXERCISE>Q 14
Give an example of a relation which is reflexive and transitive but not symmetric ?
EASY
12th CBSE
IMPORTANT
MATHEMATICS CLASS XII VOLUME-1>Chapter 1 - Relation>EXERCISE>Q 14
Give an example of a relation which is symmetric and transitive but not reflexive ?
EASY
12th CBSE
IMPORTANT
MATHEMATICS CLASS XII VOLUME-1>Chapter 1 - Relation>EXERCISE>Q 14
Give an example of a relation which is symmetric but neither reflexive nor transitive ?
EASY
12th CBSE
IMPORTANT
MATHEMATICS CLASS XII VOLUME-1>Chapter 1 - Relation>EXERCISE>Q 14
Give an example of a relation which is transitive but neither reflexive nor symmetric?
EASY
12th CBSE
IMPORTANT
MATHEMATICS CLASS XII VOLUME-1>Chapter 1 - Relation>EXERCISE>Q 15
Given the relation R=(1,2),(2,3) on the set A=1,2,3, add a minimum number of ordered pairs so that the enlarged relation is symmeteric, transitive and reflexive.