Relations and Functions — Class 12 Maths Solution

exemplar sa SA NCERT Exemp.Q.1,Page 11
Question

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.

Step-by-step Solution

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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NCERT & Exemplar solution for CBSE Class 12 Mathematics, Relations and Functions. Curated by Sachin Sharma. Free for all students.