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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 It Reflexive and Transitive. - Mathematics

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प्रश्न

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.

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उत्तर

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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अध्याय 1: Relations - Exercise 1.1 [पृष्ठ ११]

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आरडी शर्मा Mathematics [English] Class 12
अध्याय 1 Relations
Exercise 1.1 | Q 17 | पृष्ठ ११

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