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VINOD A V,

PGT Mathematics,

Jawahar Navodaya Vidyalaya,

Thrissur-KERALA

Email:avvinodpgt@gmail.com,

Ph:9446550369

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Relations & Functions

Cartesian Product of Sets

 

 

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Relation

 

 

 

 

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Domain of a Relation.

 

 

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Range of Relation

 

 

Relation on a Set

 

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Inverse of a Relation

 

 

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Types of Relations

  • Void or Empty Relation

 

  • Universal Relation

 

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  • Identity Relation

 

 

 

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  • Reflexive Relation

 

 

Note: Every identity relation is Reflexive, but the converse is not true.

 

 

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  • Symmetric Relation

 

 

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  • Transitive Relation

 

 

 

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  • Equivalence Relation

 

 

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  • Equivalence Class.