Mathematics · Relations and Functions

Let a relation R be defined over the set of non-zero rational numbers Q by aRb if a = 1b. Then over Q, the relation R is:

Verified Solution4 OptionsUpdated: October 2026👁️1 View

1An equivalence relation
2Transitive, but not reflexive and symmetric
3Symmetric, but not reflexive and transitive✓
4Reflexive, but not symmetric and transitive

Correct answer

Symmetric, but not reflexive and transitive

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Let a relation R be defined over the set of non-zero rational numbers Q by aRb if a = 1b. Then over Q, the relation R is:

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Let a relation R be defined over the set of non-zero rational numbers Q by aRb if a = 1b. Then over Q, the relation R is:

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