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Every relation which is symmetric and transitive is also reflexive. - Mathematics

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प्रश्न

Every relation which is symmetric and transitive is also reflexive.

विकल्प

  • True

  • False

MCQ
सत्य या असत्य

उत्तर

This statement is False.

Explanation:

Let R be a relation defined by

R = {(1, 2), (2, 1), (1, 1), (2, 2)} on the set A = {1, 2, 3}

It is clear that (3, 3) ∉ R.

So, it is not reflexive. 

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अध्याय 1: Relations And Functions - Exercise [पृष्ठ १७]

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एनसीईआरटी एक्झांप्लर Mathematics [English] Class 12
अध्याय 1 Relations And Functions
Exercise | Q 55 | पृष्ठ १७

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