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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 R reflexive and transitive - Mathematics

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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 R reflexive and transitive

योग

उत्तर

Given relation, R = {(a, a), (b, c), (a, b)}.

To make R reflexive we must add (b, b) and (c, c) to R.

Also, to make R transitive we must add (a, c) to R.

So, minimum number of ordered pairs to be added is 3.

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अध्याय 1: Relations And Functions - Exercise [पृष्ठ ११]

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एनसीईआरटी एक्झांप्लर Mathematics [English] Class 12
अध्याय 1 Relations And Functions
Exercise | Q 1 | पृष्ठ ११

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