हिंदी

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.

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प्रश्न

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.

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उत्तर

We have,
 A = {a, b, c} and R = {(a, a), (b, c), (a, b)}

R can be a reflexive relation only when elements (b, b) and (c, c) are added to it

R can be a transitive relation only when the element (a, c) 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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आर.डी. शर्मा Mathematics Volume 1 and 2 [English] Class 12
अध्याय 1 Relations
Exercise 1.1 | Q 17 | पृष्ठ ११

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