Assignment -1
Grade Class 12
Question:
<p>Let R = {(a, a), (b, b), (c, c), (a, b)} be a relation on set A = {a, b, c}. Then, R is</p>
<p style="display:inline">symmetric</p>
<p style="display:inline">anti – symmetric</p>
<p style="display:inline">reflexive</p>
<p style="display:inline">transitive</p>
Step-by-Step Solution
Key Concept: A relation R on a set A is reflexive if every element x in A has a corresponding identity pair (x, x) in R.
<p>Any relation R is reflexive if xRx for all x <span class="math-tex">$ \in $</span> R. Here, (a, a), (b, b), (c, c)<span class="math-tex">$ \in $</span> R. Therefore, R is reflexive.</p>
Correct Answer: C