class 12 maths relations and functions

Let $A = \{ a,b,c\}$ and the relation
$R$ be defined on $A$ as follows
$R = \{ (a,a),(b,c),(a,b)\}$

Then, write minimum number of ordered pairs to be
added in $R$ to make $R$ reflexive and transitive.

VAVidaara Admin Asked 9d ago 0 views 0 answers
📘 Relations and Functions NCERT Exemp.Q.1,Page 11 SA

Let $A = \{ a,b,c\}$ and the relation
$R$ be defined on $A$ as follows
$R = \{ (a,a),(b,c),(a,b)\}$

Then, write minimum number of ordered pairs to be
added in $R$ to make $R$ reflexive and transitive.

Official Solution

VVidaara Team ✓ Verified solution NCERT & Exemplar

Given relation, $R = \{ (a,a),(b,c),(a,b)\}$.

To make $R$ is reflexive we must add $(b,b)$ and $(c,c)$ to $R$. Also,

to make $R$ is transitive we must add $(a,c)$ to $R$.

So, minimum number of ordered pair is to be added are$(b,b),(c,c),(a,c)$.

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