Let

Question:

Let A = {abc} and the relation R be defined on A as follows: R = {(aa), (bc), (ab)}. Then, write minimum number of ordered pairs to be added in R to make it reflexive and transitive.[NCERT EXEMPLAR]

Solution:

We have,

 A = {abc} and R = {(aa), (bc), (ab)}

R can be a reflexive relation only when elements (bb) and (cc) are added to it

R can be a transitive relation only when the element (ac) is added to it 

So, the minmum number of ordered pairs to be added in R is 3.

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