हिंदी

Let R = {(3, 1), (1, 3), (3, 3)} be a relation defined on the set A = {1, 2, 3}. Then R is symmetric, transitive but not reflexive.

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प्रश्न

Let R = {(3, 1), (1, 3), (3, 3)} be a relation defined on the set A = {1, 2, 3}. Then R is symmetric, transitive but not reflexive.

विकल्प

  • True

  • False

MCQ
सत्य या असत्य
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उत्तर

This statement is False.

Explanation:

Given that, R = {(3, 1), (1, 3), (3, 3)} be defined on the set A = {1, 2, 

Since (1, 1) ∉ R, R is not reflexive.

Since (3, 1) ∈ R ⇒ (1, 3) ∈ R, R is symmetric.

Since, (1, 3) ∈ R, (3, 1) ∈ R

But (1, 1) ∉ R

Hence, R is not transitive.

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

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एनसीईआरटी एक्झांप्लर Mathematics Exemplar [English] Class 12
अध्याय 1 Relations And Functions
Exercise | Q 53 | पृष्ठ १७

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