1
WB JEE 2023
MCQ (More than One Correct Answer)
+2
-0
Change Language

If R and R$$^1$$ are equivalence relations on a set A, then so are the relations

A
R$$^{-1}$$
B
R $$\cup$$ R$$^1$$
C
R $$\cap$$ R$$^1$$
D
All of these
2
WB JEE 2022
MCQ (More than One Correct Answer)
+2
-0
Change Language

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

A
R $$\cup$$ S is equivalence relation
B
R $$\cap$$ S is equivalence relation
C
R $$\cap$$ S is not equivalence relation
D
R $$\cup$$ S is not equivalence relation
3
WB JEE 2017
MCQ (More than One Correct Answer)
+2
-0
Change Language
On R, the set of real numbers, a relation $$\rho $$ is defined as 'a$$\rho $$b if and only if 1 + ab > 0'. Then,
A
$$\rho $$ is an equivalence relation
B
$$\rho $$ is reflexive and transitive but not symmetric
C
$$\rho $$ is reflexive and symmetric but not transitive
D
$$\rho $$ is only symmetric
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