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Mark the Correct Alternative in the Following Question: Consider a Non-empty Set Consisting of Children in a Family and a Relation R Defined As Arb If A Is Brother Of B. Then, R is _____________ .

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Question

Mark the correct alternative in the following question:

Consider a non-empty set consisting of children in a family and a relation R defined as aRb if a is brother of b. Then, R is _____________ .

Options

  • symmetric but not transitive

  • transitive but not symmetric

  • neither symmetric nor transitive

  • both symmetric and transitive

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Solution

Hence, R is transitive but not symmetric.

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Chapter 1: Relations - Exercise 1.4 [Page 33]

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R.D. Sharma Mathematics Volume 1 and 2 [English] Class 12
Chapter 1 Relations
Exercise 1.4 | Q 33 | Page 33

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