CBSE Class 12 Math 2022 Term I Solved Paper

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Question : 10
Total: 50
Let set X={1,2,3} and a relation R is defined in X as:
R={(1,3),(2,2),(3,2)}, then minimum ordered pairs which should be added in relation R to make it reflexive and symmetric are
(i) R is reflexive if it contains {(1,1),(2,2) and (3,3)}. Since, (2,2)R. So, we need to add (1,1) and (3,3) to make R reflexive.
(ii) R is symmetric if it contains {(2,2),(1,3),(3,1),(3,2), (2,3)}.
Since, {(2,2),(1,3),(3,2)}R. So, we need to add (3,1) and (2,3).
Thus, minimum ordered pairs which should be added in relation R to make it reflexive and symmetric are {(1,1),(3,3),(3,1),(2,3)}.
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