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

$R=\left\{\left(a,a\right),\left(b,c\right),\left(a,b\right)\right\}$ .

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

<p>This is a Short Answer Type Question as classified in NCERT Exemplar</p><p><strong>Sol:</strong> R = { (a, a), (b, c), (a, b)}.</p><p>To make R as reflexive we must add (b, b) and (c, c) to R. Also, to make R as transitive we must add</p><p> (a, c) to R.</p><p>So, minimum number of ordered pair is to be added are (b, b), (c, c), (a, c).</p>

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