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Mark the Correct Alternative in the Following Question: Let R Be a Relation on the Set N of Natural Numbers Defined by Nrm If N Divides M. Then, R is _____________ .

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प्रश्न

Mark the correct alternative in the following question:

Let R be a relation on the set N of natural numbers defined by nRm if n divides m. Then, R is _____________ .

विकल्प

  • Reflexive and symmetric

  • Transitive and symmetric

  • Equivalence

  • Reflexive, transitive but not symmetric

MCQ
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उत्तर

We have,

R = {(m, n) : n divides m; m, n  N}



Hence, R is Reflexive, transitive 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 30 | पृष्ठ ३३

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