Let \(X\) be a nonvoid set. If \(\rho_1\) and \(\rho_2\) be the transitive relations on \(X\), then

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Let \(X\) be a nonvoid set. If \(\rho_1\) and \(\rho_2\) be the transitive relations on \(X\), then

MathematicsSets and RelationsWBJEEWBJEE 2023

Options:

A \(\rho_1, \rho_2\) is transitive relation
B \(\rho_1 \cdot \rho_2\) is not transitive relation
C \(\rho_1 \cdot \rho_2\) is equivalence relation
D \(\rho_1 \cdot \rho_2\) is not any relation on \(X\)

Solution:

1038 Upvotes Verified Answer

The correct answer is: \(\rho_1 \cdot \rho_2\) is not transitive relation

Hint: Fact

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