WB JEE 2023 | Sets and Relations Question 16 | Mathematics

WB JEE 2023

MCQ (More than One Correct Answer)

-0

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

R$$^{-1}$$

R $$\cup$$ R$$^1$$

R $$\cap$$ R$$^1$$

All of these

WB JEE 2022

MCQ (More than One Correct Answer)

-0

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

R $$\cup$$ S is equivalence relation

R $$\cap$$ S is equivalence relation

R $$\cap$$ S is not equivalence relation

R $$\cup$$ S is not equivalence relation

WB JEE 2017

MCQ (More than One Correct Answer)

-0

On R, the set of real numbers, a relation $$\rho $$ is defined as 'a$$\rho $$b if and only if 1 + ab > 0'. Then,

$$\rho $$ is an equivalence relation

$$\rho $$ is reflexive and transitive but not symmetric

$$\rho $$ is reflexive and symmetric but not transitive

$$\rho $$ is only symmetric

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