Q74 / 155 · WBJEE 2023 · Mathematics

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

A
\(\rho_1, \rho_2\) is transitive relation
Correct answer
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

Hint: Fact

Hence, the correct answer is option: 'B'.

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