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If A = {1, 2, 3, 4} Define Relations On A Which Have Properties of Being Symmetric but Neither Reflexive Nor Transitive ?

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प्रश्न

If A = {1, 2, 3, 4} define relations on A which have properties of being symmetric but neither reflexive nor transitive ?

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उत्तर

The relation on A having properties of being symmetric, but neither reflexive nor transitive is
R = {(1, 2), (2, 1)}
The relation R on A is neither reflexive nor transitive, but symmetric.

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अध्याय 1: Relations - Exercise 1.1 [पृष्ठ ११]

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आर.डी. शर्मा Mathematics Volume 1 and 2 [English] Class 12
अध्याय 1 Relations
Exercise 1.1 | Q 9.2 | पृष्ठ ११

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