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JEE Advanced

Exam: JEE Advanced
Subject: Mathematics
Chapter: Sets and Relations

JEE Advanced · Mathematics · Sets and Relations

Let R and S be two equivalence relations on a non-void set A . Then

Let

R

and

S

be two equivalence relations on a non-void set

A

. Then

Options

A $\mathrm{R} \cup \mathrm{S}$ is equivalence relation
B $\mathrm{R} \cap \mathrm{S}$ is equivalence relation
C $\mathrm{R} \cap \mathrm{S}$ is not equivalence relation
D $\mathrm{R} \cup \mathrm{S}$ is not equivalence relation

Correct answer

B. $\mathrm{R} \cap \mathrm{S}$ is equivalence relation

Step-by-step solution

(B)

\mathrm{R} \cap \mathrm{S}

is equivalence relation

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