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State the Reason for the Relation R On the Set {1, 2, 3} Given By R = {(1, 2), (2, 1)} to Be Transitive ?

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प्रश्न

State the reason for the relation R on the set {1, 2, 3} given by R = {(1, 2), (2, 1)} to be transitive ?

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उत्तर

Since (1, 2) ∈ R, (2, 1) ∈ R but (1, 1) ∉ R, R is not transitive on the set {1, 2, 3}.For R to be in a transitive relation, we must have (1, 1) ∈ R.

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अध्याय 1: Relations - Exercise 1.3 [पृष्ठ ३०]

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आर.डी. शर्मा Mathematics Volume 1 and 2 [English] Class 12
अध्याय 1 Relations
Exercise 1.3 | Q 17 | पृष्ठ ३०

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