WB JEE 2017 | Sets and Relations Question 31 | Mathematics

WB JEE 2017

MCQ (Single Correct Answer)

-0.25

On the set R of real numbers we define xPy if and only if xy $$ \ge $$ 0. Then, the relation P is

reflexive but not symmetric

symmetric but not reflexive

transitive but not reflexive

reflexive and symmetric but not transitive

WB JEE 2017

MCQ (Single Correct Answer)

-0.25

On R, the relation $$\rho$$ be defined by 'x$$\rho$$y holds if and only if x $$-$$ y is zero or irrational'. Then,

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

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

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

$$\rho$$ is equivalence relation

WB JEE 2017

MCQ (Single Correct Answer)

-0.5

On set A = {1, 2, 3}, relations R and S are given by

R = {(1, 1), (2, 2), (3, 3), (1, 2), (2, 1)},

S = {(1, 1), (2, 2), (3, 3), (1, 3), (3, 1)}. Then,

R $$ \cup $$ S is an equivalence relation

R $$ \cup $$ S is reflexive and transitive but not symmetric

R $$ \cup $$ S is reflexive and symmetric but not transitive

R $$ \cup $$ S is symmetric and transitive but not reflexive

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