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Mark the Correct Alternative in the Following Question: Let a = {1, 2, 3} and Consider the Relation R = {(1, 1), (2, 2), (3, 3), (1, 2), (2, 3), (1, 3)}. Then, R is _______________ .

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प्रश्न

Mark the correct alternative in the following question:

Let A = {1, 2, 3} and consider the relation R = {(1, 1), (2, 2), (3, 3), (1, 2), (2, 3), (1, 3)}. Then, R is _______________ .

विकल्प

  • reflexive but not symmetric

  • reflexive but not transitive

  • symmetric and transitive

  • neither symmetric nor transitive

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उत्तर

We have,

R = {(1, 1), (2, 2), (3, 3), (1, 2), (2, 3), (1, 3)}

Hence, R is reflexive but not symmetric

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अध्याय 1: Relations - Exercise 1.4 [पृष्ठ ३३]

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आर.डी. शर्मा Mathematics Volume 1 and 2 [English] Class 12
अध्याय 1 Relations
Exercise 1.4 | Q 27 | पृष्ठ ३३

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