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Study Stuff for MCA Examinations - NIMCET
Study Stuff for MCA Examinations - NIMCET
Previous Year Question (PYQs)
The relation
$R={(1,3),(1,1),(3,1),(1,2),(3,3),(4,4)}$
defined in ${1,2,3,4}$ is ____
Solution
For reflexive relation, $(1,1),(2,2),(3,3),(4,4)$ must be present.
But $(2,2)$ is missing.
So, relation is not reflexive.
For symmetric relation, if $(1,2)$ is present, then $(2,1)$ must also be present.
But $(2,1)$ is missing.
So, relation is not symmetric.
For transitive relation, since $(3,1)$ and $(1,2)$ are present, then $(3,2)$ must be present.
But $(3,2)$ is missing.
So, relation is not transitive.
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