हिंदी

If a = {1, 2, 3}, Then a Relation R = {(2, 3)} on a is (A) Symmetric and Transitive Only (B) Symmetric Only (C) Transitive Only (D) None of These

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प्रश्न

If A = {1, 2, 3}, then a relation R = {(2, 3)} on A is _____________ .

विकल्प

  • symmetric and transitive only

  • symmetric only

  • transitive only

  • none of these

MCQ
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उत्तर

transitive only

The relation R is not reflexive because every element of A is not related to itself. Also, R is not symmetric since on interchanging the elements, the ordered pair in R is not contained in it.

R is transitive by default because there is only one element in it.

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अध्याय 1: Relations - Exercise 1.4 [पृष्ठ ३२]

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आर.डी. शर्मा Mathematics Volume 1 and 2 [English] Class 12
अध्याय 1 Relations
Exercise 1.4 | Q 21 | पृष्ठ ३२

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